Question

An equilateral triangle with side length 2" will have a height of square root 3 inches. A yield sign is an equilateral triangle with perimeter of 5 ft. To the nearest inch, what is the height of the yield sign?

Answer 1

S1+S2+S3 = 5 Ft.
S1 = S2 = S3
S1+S1+S1 = 5
3S1 = 5
S1 = 5/3 Ft. = 20 In. = S2 = S3.

(s/2)^2 + h^2 = S^2
(20/2)^2 + h^2 = 20^2. Solve for h.

Answer 2

That should be correct when you solve. Check every step properly.