Pythagorean Theorem Converse Explained

Do these 3 side lengths form a right triangle?
13, 80, and 81?

• yes

• no

_{^{Find the missing side}}

• 48

• 108

• 83.6

• 72

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet

• 26 feet

• 27 feet

• 28 feet

Can side lengths 3, 4, and 5 form a right triangle?

• yes

• no

A triangle has sides of 6 cm, 8 cm, and 10 cm. Using the converse of the Pythagorean theorem, is this triangle a right triangle?

• Yes

• No

Using the converse of the Pythagorean theorem, determine if the following triangle is a right triangle: sides are 21 cm, 28 cm, and 35 cm.

• Yes

• No

A triangle has side lengths of 5 cm, 12 cm, and 13 cm. What type of triangle is it?

• Acute

• Obtuse

• Right

• Equilateral

Use the converse of the Pythagorean Theorem to determine if the triangle is acute, right, or obtuse.

• Acute

• Right

• Obtuse

A triangle has sides of lengths 9, 40, and 41. Using the converse of the Pythagorean theorem, determine if it is a right triangle.

• Yes

• No

Using the converse of the Pythagorean theorem, which set of side lengths shows that a triangle is acute?

• 3, 4, 6

• 5, 12, 13

• 8, 15, 16

• 6, 8, 9