In a 45-45-90 triangle, one of the legs is #2sqrt2#. What is the length of the hypotenuse?

Answer 1

4

The triangles with two equal sides are isosceles triangles. Let the length of hypotenuse be #a#? #(2sqrt2)^2+(2sqrt2)^2=a^2# #=>a^2=8+8# #=>a^2=16# #=>sqrta^2=sqrt16# #=>a=4#
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Answer 2

In a 45-45-90 triangle, the length of the hypotenuse is equal to the length of one leg multiplied by the square root of 2. Therefore, in this case, if one leg is ( 2\sqrt{2} ), then the length of the hypotenuse is ( 2\sqrt{2} \times \sqrt{2} = 2 \times 2 = 4 ). Hence, the length of the hypotenuse is ( 4 ).

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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.

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.

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.

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.

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