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OverLord2011 [107]
3 years ago
9

What is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

The legs are both of length 4√2

Step-by-step explanation:

Let the length of one of the two equal legs be x.  Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or

2x^2 = 64, or x^2 = 32  =  2(16)

Solving for x, x = 4√2.  The legs are both of length 4√2.

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