Question

Does 8 6 10 make a right triangle

Answer 1

The sides of the triangle are of lengths 6, 8, and 10.

The longest side length is 10.

And the smaller sides are of lengths 6, and 8.

Now, the sum of squares of the smaller sides is given as:

6^2 + 8^2 = 36 + 64

= 100

And the square of the longer side is 10^2 = 100

As the sum of squares of the smaller sides is equal to the square of the longer side that is:

6^2 + 8^2 = 10^2

So, by the Pythagorean Theorem, the sides form a right triangle.

Hence, the correct answer is yes and the given triangle is a right triangle.