SOLUTION: A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches, what is the height of the sign to the nearest tenth of an inch? Multiple Choice: A.

Algebra ->  Polygons -> SOLUTION: A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches, what is the height of the sign to the nearest tenth of an inch? Multiple Choice: A.       Log On


   



Question 1159252: A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches, what is the height of the sign to the nearest tenth of an inch?
Multiple Choice:
A. 18.0 in
B. 25.5 in
C. 20.8 in
D. 31.2 in
Thanks for the help with this :)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the height divides an equilateral triangle into two congruent right triangles where the height and 1%2F2 of side are legs and the length of hypotenuse is equal to the length of side
using Pythagorean theorem, we have
h%5E2=+36%5E2-%2836%2F2%29%5E2

h%5E2=+1296-324
h%5E2=+972
h=+sqrt%28972%29
h=+18sqrt%283%29
h=31.2 inches

answer is: D. 31.2in