Is a triangle with side lengths 20, 24, and 36 a right triangle?

2 Answers
Apr 5, 2016

No

Explanation:

A right angled triangle must obey Pythagoras Theorem - the square on the hypotenuse must be equal tot he sum of the squares on the other 2 sides, ie x^2+y^2=r^2.

In this case we get that

20^2+24^2=976 != 36^2=1296.

Hence Pythagoras is not satisfied and so the triangle is not right angles.

Apr 6, 2016

No

Explanation:

Remember the pythagorean theorem

If it is a right triangle:

color(blue)(a^2+b^2=c^2

Where aand b are the sides and c is the Hypotenuse

Remember that the Hypotenuse is the longest side of a right triangle

:.c=36

rarr20^2+24^2=36^2

rarr400+576=1296

color(red)(rArr976!=1296

So,

This is not a right triangle