Question

Math help? Please!?

In a 45-45-90 triangle, what is the length of the hypotenuse when the length of one of the legs is 5 in.?

55√ in.

5√ in.

52√ in.

25√ in.

Answer 1

`5sqrt2` inches

Explanation:

The ratio of the sides of a 45-45-90 triangle is `1:1:sqrt2`. The hypotenuse is found by multiplying the length of the leg by `sqrt2`. The legs have the same lengths.