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nirvana33 [79]
3 years ago
11

Find the value of x.

Mathematics
1 answer:
Ann [662]3 years ago
7 0

Answer:

d. 8\sqrt{2}

Step-by-step explanation:

This is a 45-45-90 right triangle with a Pythagorean triple of (x, x, x√2).  Because this is a 45-45-90, both legs have the same measure, namely 8.  Therefore, according to the Pythagorean triple, x = 8 (NOT the x in your diagram...the x in the Pythagorean triple).  That means that the hypotenuse has a measure of 8\sqrt{2}, which is d.

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