Question

Find the exact length of the third side.
51

Answer 1

24

Explanation:

You can use the Pythagorean Theorem to solve this:

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

The legs of the triangle are put into either a or b and the hypotenuse is put into c. In this case, they've already given you the hypotenuse, but now you need to find the leg:

`45^(2) + b^(2) = 51^(2)`

2025 +
`b^(2)` = 2601

Subtract 2025 from both sides:

2025 +
`b^(2)` = 2601

-2025 -2025

_____________

`b^(2)` = 576

Square root:

`\sqrt{b^(2) } = √(576)`

b = 24