In a 45-45-90 triangle, if the length of one leg is 7, what is the length of the hypotenuse?(1 point)

Question

Responses

72–√
7 square root of 2

7
7

14
14

73–√
7 square root of 3

Answer 1

In a 45-45-90 triangle, the lengths of the legs are equal, and the relationships between the lengths are as follows:

• The length of each leg is \( x \).
• The length of the hypotenuse is \( x\sqrt{2} \).

Given that one leg is 7, we can calculate the length of the hypotenuse:

\[ \text{Hypotenuse} = 7\sqrt{2} \]

So the correct response is:

7 square root of 2