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28 September, 21:30

The hypotenuse of a 45-45-90 triangle measures 10√5 in.

What is the length of one leg of the triangle?

A.) 5√5

B.) 5√10

C.) 10√5

D.) 10√10

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Answers (2)
  1. 28 September, 21:35
    0
    This is the equation all worked out with the trick to 45 45 90 triangles to the side.

    the answer is B
  2. 28 September, 21:48
    0
    Let x be the length of one leg ⇒

    By the Pythagorean theorem:

    x² + x² = (10√5) ²

    2x² = 500

    x² = 500/2

    x² = 250

    x = √250 = 5√10
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