8-3The Converse of

the Pythagorean

Theorem

The Converse of the Pythagorean Theorem

DON’T WRITE THIS!– If the square of the length of the

longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

The Converse of the Pythagorean Theorem

If c2 = a2 + b2

Then right

The Converse of the Pythagorean Theorem

• Example– Is this a right triangle?

7

8

113

The Converse of the Pythagorean Theorem

• Example– How about this one?

15

36

495

The Converse of the Pythagorean Theorem

DON’T WRITE THIS EITHER!

– If the square of the length of the longest side of a triangle

is less than the sum of the square of the lengths of the other two sides, then the

triangle is acute.

The Converse of the Pythagorean Theorem

If c2 < a2 + b2

Then Acute

The Converse of the Pythagorean Theorem

YOU KNOW WHAT TO DO!

– If the square of the length of the longest side of a triangle is

greater than the sum of the square of the lengths of the other two sides, then the

triangle is obtuse.

The Converse of the Pythagorean Theorem

If c2 > a2 + b2

Then Obtuse

The Converse of the Pythagorean Theorem

• Example

– Are these side from a right, acute, or obtuse triangle?

38, 77, 86

•SPICSA

page 2972-14even

The Converse of the Pythagorean Theorem