Question

Marina needs to replace a broken window at her house. The window is shaped like a triangle with dimensions shown below. If glass cost 18.75 per square foot how much for the square replacement window cost?

Answer 1

The triangle is an equilateral triangle because the sides are all congruent. This means that the angles are all 60 degrees.

You can cut them he triangle in half to make it into 2 30-60-90 triangles to find the height.
The height of the triangle is 7.5 root 3.

to find the area of a triangle use 1/2 base* height.
(1/2) 7.5 root 3 * 7.5= which is about 48.7 ft.
There are 2 triangles so multiply that by 2 to get about 97.4 ft^2

Finally, to find the cost for the triangle window multiply 97.4^2 by 18.75 to get $1826.25.

(if the questions asking for a square replacement instead of finding the area of the triangles find the area of a square by doing 7.5 root 3 times 15 then multiply that by 18.75 to get $3653.54)

Answer 2

180

Explanation:

The triangle is an equilateral triangle so all the sides are 15 ft. So 15^3 is 3375. Finally to get the answer you have to divide 3375 and 18.75. Therefore the answer is 180.