Question

Someone please help me answer this!!

Answer 1

18 feet

Explanation:

The Pythagorean theorem is a formula that can be used to find the unknown side length of a right triangle when given the length of the other two sides. The general formula for the Pythagorean theorem is the following,

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

Where (a) and (b) are the legs of the right triangle, or rather the sides adjacent to the right angle of the right triangle. Additionally, (c) is the hypotenuse or the side opposite the right angle of the right triangle.

Substitute in the given values and solve, let parameter (a) represent the unknown side of the triangle,

`a^2 + b^2 = c^2\\`

Substitute,

`(24)^2 + a^2 = (30)^2\\`

Simplify,

`576 + a^2 = 900`

Inverse operations,

`576 + a^2 = 900\\-576\\\\a^2 = 324\\\sqrt{}\\\\a = 18`

Answer 2

a = 18 ft is the answer.

Explanation:

a = ?

b = 24 ft

c = 30 ft

According to the Pythagoras theorem,

a² + b² = c²

a² + 576 = 900

a² = 900 - 576

a² = 324

a = 18 ft

∴ a = 18 ft is the length of the missing leg.