Respuesta :

Answer:

hypotenuse is 22.47 m

Step-by-step explanation:

The length of both legs of a right angle triangle are 8m and 21 m

We need to find the hypotenuse

To find hypotenuse we use Pythagorean theorem

Hypotenuse is AC  and other two legs are AB  and BC

[tex]AC^2 = AB^2 + BC^2[/tex]

Hypotenuse ^2 = 8^2 + 21^2

hypotenuse = [tex]\sqrt{8^2 + 21^2}[/tex]

= [tex]\sqrt{64 + 441}[/tex]

= [tex]\sqrt{505}[/tex]

= 22.47

So the length of the hypotenuse is 22.47 m