The area of an equilateral triangle ABC is 50 square centimeters. What is the length of side AB?

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Answer 1 · 2018-05-31T06:06:23

Length of Side #color(maroon)(AB = a = 10.75 cm#

Area of equilateral triangle # A_t = (sqrt3/4) a^2# where ‘a’ is a side of the triangle.

Given : #A_t = 50 (cm)^2#

#(sqrt3/4) a^2 = 50#

#a^2 = (50*4)/sqrt3#

Length of Side #color(maroon)(AB = a = sqrt((50*4)/sqrt3) = 10.75 cm#