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

Question

8533 views around the world

You can reuse this answer
Creative Commons License

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 $color(maroon)(AB = a = sqrt((50*4)/sqrt3) = 10.75 cm$