Converse of the Pythagorean Theorem

Do the following squares form a right triangle?  Why or why not?

• No, because 9+15 does not equal 16

• No, because the squares are not equal

• Yes, because the squares are all different sizes

• Yes, becuase 9+15=16

Tags

CCSS.8.G.B.8

• Yes
• No

Tags

CCSS.8.G.B.8

Would these side lengths form a right triangle?

• Yes

• No

Tags

CCSS.8.G.B.8

The lengths of a triangle are given below. Is the triangle obtuse, acute or right?

• Acute

• Right

• Obtuse

Tags

CCSS.8.G.B.8

What does the Converse of the Pythagorean Theorem state?

• In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs

• If a triangle has sides of length a, b, and c, and if a²+b²=c², then the angle opposite the side of length c is a right angle

• The ratio of the circumference of a circle to the length of its diameter

• A set of three positive integers a, b, and c such that a²+b²=c²

Tags

CCSS.8.G.B.8

Which statement is an important part of the proof of the converse of the Pythagorean theorem?

• It must be assumed that the Pythagorean theorem is true.

• It must be assumed that the sum of the lengths of any two sides of a triangle are less than the length of the third side.

• It must be assumed that the Pythagorean theorem is false.

• It must be assumed that the sum of the lengths of any two sides of a triangle are greater than the length of the third side.

Tags

CCSS.8.G.B.8

Use the converse of the Pythagorean Theorem to find the answer choice below whose side lengths do NOT represent a right triangle.

• 6cm, 8cm, 10cm

• 5in, 12in, 13in

• 10m, 20m, 40m

• 8in, 15in, 17in

Tags

CCSS.8.G.B.8

Would these three sides form a right triangle?

• Yes

• No

Tags

CCSS.8.G.B.8

Is this triangle a right triangle?

• yes

• no

Tags

CCSS.8.G.B.8

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Tags

CCSS.8.G.B.7