Answer:
12 feet
Step-by-step explanation:
1. We know that the hypotenuse is 15 ft and the base is 9, know we can apply it into the pythagorean theorem
a = side of right triangle = 9 ft.
b = side of right triangle = ?
c = hypotenuse = 15 ft.
a^2 + b^2 = c^2
2. Rearrange the equation so b is equal to a and c
b^2 = c^2 - a^2
3. Apply into the equation with the information we know
b^2 = 15^2 - 9^2
4. Simplify by multiplying the square root of 15 and 9
b^2 = 15^2 - 9^2
b^2 = 225 - 81
5. Simplify by subtracting
b^2 = 144
6. Find the square root of 144
b= √(144)
b = 12
Hope this helped :)
