The hypotenuse of a 45°-45°-90° triangle measures units. What is the length of one leg of the triangle?

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asked Jun 17, 2018 74.7k views

2 Answers

S McCrohan · Answer 1 · 2018-06-22T13:05:47+0000

This an isosceles right triangle. The sides opposed to the angle 45° are congruent. Let x be this side==> x²+x² =(7√2)² (Pythagoras)

2x² = 49(2) ==> 2x²= 98 ==> x²=49 & x=7

The hypotenuse of a 45°-45°-90° triangle measures units. What is the length of one leg of the triangle?

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