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

Question

asked Sep 14, 2021 72.2k views

1 Answer

Raedwald · Answer 1 · 2021-09-18T08:58:13+0000

Answer:

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,
$Side_2=10\,m$

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