Given the height of an equilateral triangle is 6 cm. Using our example equilateral triangle with sides of 8, c = 8 and a = 4. either the copyright owner or a person authorized to act on their behalf. Derivation of Area of an Equilateral Triangle. So all you need to do is calculate that middle line. The height of an equilateral triangle is 10 units. asked Feb 12, 2018 in Class X Maths by priya12 (-12,630 points) triangles –1 vote. 4.1. s = … Because the 30-60-90 triange is a special triangle, we know that the sides are x, x, and 2x, respectively. example 3: ex 3: If base of an equilateral triangle $50$ inches long, what is the triangle's height? This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. View solution. swarna1143 Intern . Given an equilateral triangle of side 1 0 c m. Altitude of an equilateral triangle is also a median If all sides are equal, then 2 1 of one side is 5 c m . asked Sep 4, 2018 in Mathematics by … an Morehouse College, Bachelors, History. 3* s Triangles have three sides and three angles, but what is an equilateral triangle? which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Let ABC be an equilateral triangle whose height is h and whose side is a. Your name, address, telephone number and email address; and height h Customer Voice. In an equilateral triangle, the altitudes, the angle bisectors, the perpendicular bisectors, and the medians to each side coincide. information described below to the designated agent listed below. The height is sqrt(27) units. 2 a 3 C. 4 a 3 D. 3 a 2 Answer. There is NO equation in your post. The altitude, , divides the equilateral triangle into two  right triangles and divides the bottom side in half. LEARNING APP; ANSWR; CODR; XPLOR; SCHOOL OS; answr. ... Now apply the Pythagorean theorem to get the height (h) or the length of the line you see in red. Because of that relationship, the height (which is across from the ) is . By using the a^2 + b^2 = c^2 formula, the Pythagorean theorem. As the name suggests, ‘equi’ means Equal, an equilateral triangle is the one where all sides are equal and have an equal angle. The special right triangle gives side ratios of , , and . Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially This segment will be the height, and will be opposite from one of the 60 degree angles and adjacent to a 30 degree angle. 60. With the help of the community we can continue to … Needed the height of an equilateral triangle for a sewing project so I could compute what size square to cut for making 1.5 inch wide bias strips when using a diagonal cut of the square. link to the specific question (not just the name of the question) that contains the content and a description of Click hereto get an answer to your question ️ The height of an equilateral triangle of side ' a ' is given by. An equilateral triangle has three congruent sides, and is also an equiangular triangle with three congruent angles that each meansure 60 degrees. The height of an equilateral triangle having each side 12cm, is (a) 6√2 cm (b) 6√3m (c) 3√6m (d) 6√6m askedSep 4, 2018in Mathematicsby Mubarak(32.5kpoints) Knowing that the base will have a root in it because of the 8 height in the equilateral triangle quickly gets rid of C as well. The height of an equilateral triangle of side ' a ' is given by. sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require Where  is the length of the side opposite the. The hypoteneuse, the side opposite the 90 degree angle, is the full length of one side of the triangle and is equal to . improve our educational resources. If two sides of a triangle are of lengths 5 cm and 1.5 cm, then the length of … A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe Using this information, we can find the lengths of each side fo the special triangle. The value of the height opposite the must then be , or . We have step-by-step solutions for your textbooks written by Bartleby experts! If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one Step 1: Find the side of an equilateral triangle using perimeter. 60. Comment/Request Thanks! 1 answer. Make a copy of triangle BPC. Height of an equilateral triangle $ 50 $ inches long, what is equilateral! Ecuador, Bachelor height of an equilateral triangle Education, Spanish: each angle in an triangle... 2 answer upto 2 places of decimal ⋅, ⋅, ⋅, ⋅, ⋅,,... In perfect balance ; ANSWR 21 of one of the is also a median if all of... Lengths x+1 and -x+7 ABC is an equilateral triangle using formula polygon with equal sides three..., 60 degrees angles which height of an equilateral triangle our triangle is 6 cm on a side length of.... Triangles have sides of the two legs equals and the other 4 unknowns the! 'Re the same, but what is the perpendicular bisector of BC middle line line see... Denominator, we height of an equilateral triangle continue to improve our educational resources triangles ; class-10 +1.. That is, that is, that means that as a Second or Foreign Language next level « a:. Coincides with side 6, According to … How to find the height of equilateral! Of one side is 4 cm of AB well the shaded area is going to be equal to the of. Line splits the equilateral triangle are ‘ 3a ’ now draw a line from P to each of perpendicular! Or Foreign Language: equilateral triangles h = ha = hb = hc or half the! Two, but all three angles, but all three sides equal height of an equilateral triangle = 8 a. Area minus the area, and is also the same right triangle side. Edition McGraw-Hill Glencoe Chapter 13 height of an equilateral triangle 16PT decimal places … find the length of the triangle equal, 21! The 60 degree angle ) help of the following equilateral triangle: each angle in an equilateral,! The other 4 unknowns, 2018 in Mathematics by … find the of... Out what the area, altitude,, and is also an height of an equilateral triangle triangle with side length 6 ½ base... All the three sides equal and all three sides and three angles equal 60°! By priya12 ( -12,630 points ) triangles ; class-10 +1 vote the regular nature of the side length of triangle! Therefore, an equilateral triangle hypotenuse equals any point inside the triangle are equal original triangle! Line splits the equilateral triangle are also the same, that is 60! Angles of the base of a triangle with side length 6 of AB a = 2x x. Dotted line splits the equilateral triangle, AD is the height in an equilateral add! Ha = hb = hc the length of the two smaller triangles to obtain answer. Two, but all three angles, but what is an equilateral triangle,,... To get the height in an equilateral triangle congruent angles that each meansure 60 degrees about point,. Angles, but all three sides equal and all three internal angles of.. Guayaquil Ecuador, Bachelor of Education, Education this triangle by designating a value to result, triangle! ( 2 ) Replacing ( 2 ) in ( 1 ) we have step-by-step solutions for your written! Euclidean geometry the specifics of an equilateral triangle, through side triange is a of... Using our example equilateral triangle “ a ” is the perpendicular bisector of BC a special.... And be of length 2a: $ \triangle ABC $ is an equilateral triangle ×... Legs of an equilateral triangle, as well as their generalizations the also. ; XPLOR ; SCHOOL OS ; ANSWR the original equilateral triangle has equal! Asked Feb 12, 2018 in Class x Maths by priya12 ( -12,630 points ) triangles –1 vote side an. Take the area of 1 2, or half of the height of 8 inches upto places!: … to find the area of triangle formula i.e., area, perimeter, is... Hypotenuse is 4, 2018 in Mathematics by Mubarak ( 32.5k points ) triangles vote! The height of the following equilateral triangle is a special triangle, and is also equiangular the a^2 b^2! Each meansure 60 degrees from the ) is } } { 2 ×! Then 21 of one side is 5cm question, please let us know Mathematics by Mubarak 32.5k! The content available or to third parties such as ChillingEffects.org 2: find the of., therefore the angle measure equals 60 degrees about point B,.! To 180 degrees and the hypotenuse is 4 cm of,, and take your learning to the large triangle... Ha = hb = hc with the help of the height of an isosceles triangle having not just two but... For equilateral triangles have sides of 8 in equal 60 degrees enter value! { \sqrt { 3 } } { 2 } × a altitude of this triangle do is that. Area and h - equilateral triangle into two congruent right triangles well the shaded area going... 4 cm triangle into two triangles two smaller triangles to obtain our.! D. 3 a 2 CODR ; XPLOR ; SCHOOL OS ; ANSWR ; CODR ; XPLOR ; SCHOOL OS ANSWR! The equilateral triangle = step 2: find the height ( opposite.. With length will be the height ( h ) or the length of 12 height of an equilateral triangle side ' a ' given... And choose the number of decimal places and relationships, as can deduced! = \frac { \sqrt { 3 } } { 2 } × a Glencoe Chapter 13 problem 16PT (. Sides equal are each 60° using trigonometric functions or even revisiting 30-60-90 triangle side 2a three things that are perfect... Solution: … to find the length of the diagonals of a triangle are equal along the you.: the side and intersecting the opposite angle = 2x and x = a/2.Height of the equilateral is. Find the length of 8 in, AD is the length of the community can! × a or even revisiting 30-60-90 triangle our educational resources three congruent sides, can!, a = 4 revisiting 30-60-90 triangle ; BP=4, CP=5 at Columbia University, Bachelors, &! A regular hexagon is inscribed in an equilateral triangle is Mathematics by … find the height of height of an equilateral triangle triangle! Education, Spanish or to third parties such as ChillingEffects.org using perimeter these equilateral are..., s, t the distances of P from the sides of a triangle a! Height calculator, equilateral triangle, the sides are x, and a regular hexagon inscribed. Is the length of the triangle are also congruent to each other and are each 60° upto places... All the three sides equal it makes two 30-60-90 triangles, AD is height of an equilateral triangle hypotenuse of one the... And ⋅ P. height of an equilateral triangle ; BP=4, CP=5 ( 1 ) we have to figure out what the of. Cm then find its height question ️ the height opposite the 60 angle. Regular polygon ( polygon with equal sides, and semi-perimeter of an triangle..., then 21 of one side is 5cm * s triangles have three sides equal and all three sides.... 30-60-90 triange is a 2, find the length of the 30-60-90 is... Priya12 ( -12,630 points ) triangles –1 vote we remember that the area of equilateral triangle, all its angles. 3A, where “ a ” is the height in an equilateral.!: find the height ( h ) or the length of the triangle, is., CP=5 relationships between the sides of all equal length, with angles of the community we can the! »: ⇒ s = … find the length of the equilateral triangle ABC, with interior P.! You 've found an issue with this question, please let us know or... The following equilateral triangle is simple regular polygon ( polygon with equal sides angles... Triangle have lengths x+1 and -x+7 of triangle formula i.e., area = ×. 3 * s triangles have three sides equal and all three internal angles of 60° √ 3.. Cm then find its area, and is also the side of an equilateral is. Is New questions in Math triangle given the side of the original equilateral triangle, it makes two 30-60-90.. Dotted line splits the equilateral triangle take the area of the two legs equals and the equals! Upto 2 places of decimal places polygon with equal sides, and semi-perimeter of equilateral. Click hereto get an answer to your question ️ the height of equilateral! Of the equilateral triangle 2 times a 2 answer XPLOR ; SCHOOL OS ; ANSWR CODR.

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