Question

Hypotenuse Math. 15 Points.

Answer 1

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

Answer 2

Answer:

$\large\boxed{c=\sqrt{41}\approx6.4}$

Step-by-step explanation:

Use the Pythagorean theorem:

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

We have:

$leg=5\\leg=4\\hypotenuse=c$

Substitute:

$c^2=5^2+4^2\\\\c^2=25+16\\\\c^2=41\to c=\sqrt{41}\to c\approx6.4$