Question

Hypotenuse Math. 15 Points.

Answer 1

`\large\boxed{c=√(41)\approx6.4}`

Explanation:

Use the Pythagorean theorem:

`leg^2+leg^2=hypotenuse^2`

We have:

`leg=5\\leg=4\\hypotenuse=c`

Substitute:

`c^2=5^2+4^2\\\\c^2=25+16\\\\c^2=41\to c=√(41)\to c\approx6.4`

Answer 2

Using the Pythagorean theorem:

a^2 + b^2 = c^2

A and B are the sides and c is the hypotenuse.

4^2 + 5^2 = c^2

Simplify:

16+25 = c^2

41 = c^2

Take the square root of both sides:

c=√41