Converse of the Pythagorean Theorem ReLearn

What is the Converse of the Pythagorean Theorem?

• If the sum of the squares of the smaller sides equals the square of the larger side, then the triangle is a right triangle.

• If a triangle is a right triangle, then the sum of the squares of the smaller sides is equal to the square of larger side.

• a^2 + b^2 = c^2

Tags

CCSS.HSG.SRT.B.4

The Converse of the Pythagorean Theorem is used to...

• find Missing Sides.

• determine if a triangle is a right triangle.

• find if a triangle is acute or obtuse.

• tell if 3 sides make a triangle.

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Do the sides 11 in, 3 in, and 9 in create a triangle?

• Yes

• No

Do the side lengths 310 mm, 640 mm, and 320 mm create a triangle?

• Yes

• No

Do the given lengths create a right triangle?

8 ft, 15ft, and 17ft?

• Yes, these sides would make a right triangle.

• No, these sides would not make a right triangle.

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Can the lengths 5 cm, 12 cm, and 13 cm form a triangle?

• Yes

• No

Determine if the sides 6 m, 8 m, and 10 m create a right triangle.

• Yes, these sides would make a right triangle.

• No, these sides would not make a right triangle.

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Is a triangle with sides 7 m, 24 m, and 25 m a right triangle?

• Yes, these sides would make a right triangle.

• No, these sides would not make a right triangle.

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Can the lengths 9 cm, 32 cm, and 41 cm form a right triangle?

• Yes

• No

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Using the Converse of the Pythagorean Theorem, determine if a triangle with sides 12 in, 8 in, and 20 in is a right triangle.

• Yes, it is a right triangle.

• No, it is not a right triangle.

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8