Question

What is the length of the hypotenuse of the triangle?

Answer 1

Answer:

8.1 ft

Step-by-step explanation:

hyp² = side² + side²

hyp² = 7² + 4²

hyp² = 49 + 16

hyp² = 65

hyp = sqrt of 65

hyp = 8.1 ft

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Answer 2

Answer:

$\large\boxed{\sqrt{65}\ ft}$

Step-by-step explanation:

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=4ft,\ leg=7ft,\ hypotenuse=AB$

Substitute:

$AB^2=4^2+7^2\\\\AB^2=16+49\\\\AB^2=65\to AB=\sqrt{65}$