One of the sides of an equilateral triangle is 61. What is the height of the triangle?

geometry

1 Answer
Feb 17, 2018

given, "side = 61 units"side = 61 units

"area of the triangle" = color(magenta)(sqrt3/4 (side)^2area of the triangle=34(side)2
A=sqrt3/4 * 61*61A=346161

also, "area of the triangle" = color(magenta)(1/2 (base)(height)area of the triangle=12(base)(height)
sqrt3/4 * 61*61 = 1/2 * 61 * (height) 346161=1261(height)
sqrt3/2 * 61 = (height) 3261=(height)

"height" = (61sqrt3)/4 unitsheight=6134units

-Sahar :)