Question

Please help being timed!!! Given: △ABC AB=BC=AC Area of △ABC= 25 3 4 cm2 Find: The perimeter

Answer 1

15 cm

Explanation:

The area of an equilateral triangle is:

`(√(3) )/(4)a^2`, where a is the length of one side.

We can find the value of a (the length) by:

`(25√(3) )/(4) = (√(3) )/(4)a^2`

`a^2 = 25`

a = 5, so the side length of this triangle is 5 cm.

The perimeter of an equilateral triangle will be 3 times the length.

`3\cdot5=15`

Hope this helped!