Question

the length of the hypotenuse of right triangle is 21 centimeters the length of one leg is 9 cm how long is the other leg

Answer 1

To solve this problem we have to use Pythagorean's Theorem because we have a right triangle.

Remember that the theorem states that the squared hypotenuse is equivalent to the sum of the squared legs. Let's use it, the hypotenuse is 21 centimeters, one leg is 9 centimeters.

`21^2=9^2+x^2`

Where x is the missing leg. Let's solve for x.

`\begin{gathered} 441=81+x^2 \\ x^2=441-81 \\ x^2=360 \\ x=\sqrt[]{360} \\ x\approx19 \end{gathered}`

Therefore, the other leg is 19 centimeters, approximately.