A leg of a 45-45-90 triangle has length $3sqrt2$ . What's the length of the hypotenuse?

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Answer 1 · 2016-05-25T13:27:15

Multiply the length of the leg by $sqrt(2)$ to arrive at the length of the hypotenuse = 6.

45-45-90 triangles have a ratio of bases to hypotenuse of $1:sqrt(2)$

We are given that a leg of a 45-45-90 triangle has a length of $3sqrt(2)$ . To find the hypotenuse, we multiply the length of the leg by $sqrt(2)$ :

$3sqrt(2)*sqrt(2)=3*2=6$

A leg of a 45-45-90 triangle has length 3sqrt23sqrt2. What's the length of the hypotenuse?