Question

Given 10 is a leg of a right triangle and 11 is the hypotenuse, what is the length of the other leg of the right triangle? Round

Vou answer to the nearest hundredi derinals

Answer 1

The length of other leg is 4.58

Explanation:

It is given that:

One leg of triangle = 10

Hypotenuse = 11

Using Pythagorean theorem,

`a^2+b^2=c^2\\(10)^2 + b^2 = (11)^2\\100+b^2 = 121 \\b^2 = 121-100 \\b^2 = 21`

Taking square root on both sides

`√(b^2)=√(21)\\b=4.58`

Therefore,

The length of other leg is 4.58