Respuesta :

musiclover10045

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

gmany

Answer:

[tex]\large\boxed{c=\sqrt{41}\approx6.4}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=5\\leg=4\\hypotenuse=c[/tex]

Substitute:

[tex]c^2=5^2+4^2\\\\c^2=25+16\\\\c^2=41\to c=\sqrt{41}\to c\approx6.4[/tex]

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