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Masteriza [31]
3 years ago
12

Find the exact length of the third side. 51

Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0

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

<em><u>Subtract 2025 from both sides:</u></em>

2025 + b^{2} = 2601

-2025       -2025

_____________

b^{2} = 576

<em><u>Square root:</u></em>

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

b = 24

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