Question

The hypotenuse of a right triangle is 15 m long. Find the length of one side if the length of the other is 10 m

Answer 1

The length of the other side=
`√(125)\,m`

Explanation:

The length of the third side of a right angled triangle can be find by using the Pythagorean Theorem: i.e

`Hypotenuse^2=Perpendicular^2+Base^2`

Hypotenuse of a right angled triangle is the longest side of it:

For ,
`Hypotenuse=15\,m`

So ,

`Hypotenuse^2=(Side_1)^2+(Side_2)^2`

For,
`Side_2=10\,m`

`15^2=(Side_1)^2+10^2\\\\225=(Side_1)^2+100\\\\225-100=(Side_1)^2\\\\(Side_1)^2=125\\\\Side_1=√(125)\\`