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pashok25 [27]
2 years ago
15

Question

Mathematics
1 answer:
Semenov [28]2 years ago
6 0

Answer: B

Step-by-step explanation:

We are given that a 45-45-90 triangle has a hypotenuse of 7\sqrt{2}.

In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.

a^2+a^2=(7\sqrt{2})^{2}         [combine like terms]

2a^2=(7\sqrt{2})^2               [square root both sides]

a\sqrt{2} =7\sqrt{2}                 [divide both sides by root 2]

a=7

Now, we know that a leg is length 7, which is B.                

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