Determine Whether the triangle with the given side lengths is a right triangle

6,8,10

Right Triangle

Not A Right Triangle

Yes, right triangle

Step-by-step explanation:

Since it is a right triangle, we can use Pythagorean Theorem.

a^2+b^2=c^2

a and b are the legs, or shorter sides, and c is the hypotenuse, or the longest side.

We have 3 side lengths: 6, 8 and 10

6 and 8 are the shorter legs, so they are a and b.

10 is the longest leg, so it is c

Substitute the values into the equation, and see if it is true.

6^2+8^2=10^2

Evaluate the exponents

36+64=100

100=100

Since this is a true statement, these sides can make a right triangle.

Yes it would be a right triangle!