3.25 Exploring the Pythagorean Theorem

A right triangle has legs of lengths 3 and 4. What is the length of the hypotenuse?

• 5

• 6

• 7

• 8

Tags

CCSS.8.G.B.7

Which of the following diagrams correctly represents the Pythagorean Theorem?

Tags

CCSS.8.G.B.8

Find the distance between the points (1, 2) and (4, 6) on a coordinate plane.

• 3

• 4

• 5

• 6

Tags

CCSS.HSG.GPE.B.7

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

• Yes

• No

Tags

CCSS.8.G.B.8

Which model can be used to explain the Pythagorean Theorem?

• A balance scale

• A right triangle with squares on each side

• A number line

• A protractor

Calculate the distance between the points (-2, 1) and (3, 5).

• 4

• 5

• 6

• 7

Tags

CCSS.HSG.GPE.B.7

A triangle has sides of lengths 8, 15, and 17. Does it satisfy the Pythagorean Theorem?

• Yes

• No

Tags

CCSS.8.G.B.8

Which of the following is a visual representation of the Pythagorean Theorem?

• A triangle with angles labeled

• A triangle with squares on each side

• A circle with a diameter

• A rectangle with diagonals

Tags

CCSS.8.G.B.8

Determine the distance between the points (0, 0) and (3, 4).

• 3

• 4

• 5

• 6

Tags

CCSS.HSG.GPE.B.7

A triangle has sides of lengths 9, 12, and 15. Is this a right triangle?

• Yes

• No

Tags

CCSS.8.G.B.8