Question

Is a triangle with sides of 6, 8, and 10, a right triangle?

Answer 1

yes-a right triangle.

Explanation:

`color(blue)"Pythagoras' theorem"` states that the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.

The`color(blue)" Converse"` of this statement is 'if the square on the longest side of a triangle equals the sum of the squares on the other two sides then the triangle is right'.

Here the longest side = 10 `rArr10^2=100`

and `6^2+8^2=36+64=100`

This satisfies the converse condition hence the triangle is right.