Question

Pythagorean Theorem answer quick please

Answer 1

11.2 ft

Explanation:

pythagorean theorem states:

`a^(2) +b^(2) =c^(2)`

c² is the hypotenuse, which in this case is 15 ft.

a² is the base length of the triangle, which is 10 ft.

This means that we have to solve for b, which is the height of the triangle.

We can substitute in 10 and 15 for a and c:

10²+b²=15²

simplify:

100+b²=225

subtract 100 from both sides

b²=125

take the square root of both sides to cancel out the square on b

√b=√125

b=11.2 (rounded to nearest tenth)

So, the height of the ramp is 11.2 ft.

Hope this helps :)

Answer 2

Explanation:

For right triangles

hypotenuse^2 = leg1 ^2 + leg2^2

15^2 = 10^2 + b^2

225 - 100 = b^2

b = sqrt (125) = 5 sqrt 5 = 11.2 ft