In 45-45-90 right triangle, where the length of the hypotenuse is #15sqrt2#,What is the length on one of the legs?

Answer 1

#a = b = 15#

That right triangle is also isosceles - both sides are the same length. So, using the Pythagorean Theorem: #h^2 = a^2 + b^2# #(15sqrt(2))^2 = a^2 + b^2 = 2a^2 = 2b^2# #450 = 2a^2# ; #a = b = 15#

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Answer 2

Ella Armstrong

In a 45-45-90 right triangle, the lengths of the legs are equal. Therefore, each leg of the triangle has a length equal to (\frac{{15\sqrt{2}}}{{\sqrt{2}}} = 15).

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Answer 3

Carson Arnold

In a 45-45-90 right triangle, the lengths of the legs are equal. Therefore, the length of one leg is ( \frac{15\sqrt{2}}{\sqrt{2}} ), which simplifies to ( \boxed{15} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.