Identifying Right Triangles

For ALL right triangles, the Pythagorean Theorem applies

Legs: 7 and 3

What is the length of the hypotenuse?

 $a^2+b^2=c^2$  

For ALL right triangles, the Pythagorean Theorem applies

How can we use the Pythagorean Theorem to figure out if a triangle is a right triangle or not, given the side lengths?

Leg Lengths: 6 and 8

Hypotenuse Length:  $\sqrt{100}$  

This IS a right triangle

Leg Lengths: 10 and 3

Hypotenuse Length:  $\sqrt{120}$  

This IS NOT a right triangle

Leg Lengths: 2 and 6

Hypotenuse Length:  $\sqrt{40}$  

This IS a right triangle

Leg Lengths: 13 and 11

Hypotenuse Length:  $\sqrt{305}$  

This IS NOT a right triangle

Leg Lengths: 4 and 4

Hypotenuse Length:  $\sqrt{16}$  

This IS NOT a right triangle

What kind of triangle is this?

Leg Lengths: 15 and 5

Hypotenuse Length:  $\sqrt{250}$  

This IS a right triangle

Leg Lengths: 11 and 11

Hypotenuse Length:  $\sqrt{242}$  

This IS a right triangle