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If the legs of a right triangle are given by x^2 - y^2 and 2xy then which expression equals the hypotenuse ? Choose all that apply

If the legs of a right triangle are given by x^2 - y^2 and 2xy then which expression-example-1
User Olja
by
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1 Answer

4 votes

Answer:


√(\left(x^2-y^2\right)^2+\left(2xy\right)^2)

Explanation:

Hypotenuse of a right triangle can be found using the Pythagorean theorem which states that both legs squared and added is equal to the hypotenuse squared. In other words, if A and B are legs and C is the hypotenuse:


C=√(A^2+B^2)

We are told that one of the legs is
x^2-y^2 and the other is
2xy so we get
√(\left(x^2-y^2\right)^2+\left(2xy\right)^2) when we substitute the legs into the formula presented above.

User Deepwell
by
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