Question

I need help with this problem doing the Pythagorean theorem

Answer 1

`x = √(57)`

Explanation:

The Pythagorean Theorem states that:

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

where
`a` and
`b` are legs of a right triangle (they meet at the right angle), and
`c` is the triangle's hypotenuse.

We can apply this theorem to the given triangle:

`8^2 + x^2 = 11^2`,

and all we have to do is solve for x.

First, simplify all the square roots.

`64 + x^2 = 121`

Then, subtract 64 from both sides.

`x^2 = 121- 64`

`x^2 = 57`

Finally, take the square root of both sides.

`√(x^2) = √(57)`

`x = √(57)`