A triangle has side lengths of 6, 8 and 10. Is it a right triangle explain

Solution:

Given, the length of sides of a triangle are 6, 8 and 10.

We have to find whether the given triangle is the right triangle.

By pythagoras theorem,

\(a^{2}+b^{2}=c^{2}\)

Now, \((6)^{2}+(8)^{2}=(10)^{2}\)

LHS = \((6)^{2}+(8)^{2}\)

= 36 + 64

= 100

RHS = \((10)^{2}\)

= 100

LHS = RHS

Therefore, the given triangle is a right triangle.

A triangle has side lengths of 6, 8 and 10. Is it a right triangle explain

Summary:

A triangle has sides of lengths 6, 8, and 10 is a right triangle.