Question

Find the exact length of the third side. 51

Answer 1

Answer:

24

Step-by-step 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:

$\sqrt{b^{2} } = \sqrt{576}$

b = 24