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

geometry

1 Answer
Sahar Mulla ❤
Feb 17, 2018

given, #"side = 61 units"#

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

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

#"height" = (61sqrt3)/4 units#

-Sahar :)

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