Question

A leg of a right triangle is 30 meters long, and the hypotenuse is 35 meters long. What is the length of the other leg​

Answer 1

Length of the other leg=18.02 meters.

Explanation:

Given: A leg of a right triangle is 30 meters long, and the hypotenuse is 35 meters long.

To find: The length of the other leg​.

Solution: Let ΔABC be right angled triangle, then using the Pythagoras theorem, we get

`(AC)^(2)=(AB)^(2)+(BC)^2`

⇒
`(35)^(2)=(30)^(2)+(BC)^2`

⇒
`1225=900+(BC)^2`

⇒
`325=(BC)^2`

⇒
`BC=18.02 meters`

Thus, the length of the other leg=18.02 meters.