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In a 45-45-90 triangle, what is the length of the hypotenuse if the length of one of the legs is 5 in.?

2 Answers

3 votes

The answer is 5√2 inches

User Jugal Panchal
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8.1k points
1 vote
you could use the Pythagorean Theorem to find this. Since the two legs will be the same length:
5² + 5² = c²
25 + 25 = c²
50 = c²
√50 = √c²
5√2 = c
so the hypotenuse length is 5√2
User Windowsgm
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8.1k points