Question

8 squared plus 6 squared = c squared using Pythagorean theorem for right triangle

Answer 1

Hypotenuse of 10

Explanation:

The Pythagorean Theorem is
`a^(2) +b^(2) = c^(2)`

So let's plug in the numbers!

`8^(2) +6^(2) = c^(2)`

Let's start the squaring (8*8 and 6*6)

`64 + 36 = c^(2)`

Add the numbers to simplify

100 =
`c^(2)`

To reverse/invert a number that is squared, all you have to do is to take the square root of the number. But we have to do the same operations on both sides of the equation.

`√(100) =\sqrt{c^(2) }`

We can simplify, and the square of c cancels because of the square root, leaving us with:

10 = c