Pythagorean

What is the Pythagorean Theorem?

• a^3 + b^3 = c^3

• a + b = c

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

Tags

CCSS.8.G.B.8

In a right triangle, which side is considered the hypotenuse?

• The side opposite the right angle

• The side adjacent to the right angle

• The longest side of the triangle

• The side opposite the acute angle

If the two shorter sides of a right triangle are 3 and 4 units long, what is the length of the hypotenuse?

• 6

• 7

• 8

• 5

Tags

CCSS.8.G.B.7

What is the formula for the Pythagorean Theorem?

• a^2 + b^2 = c^2

• 2a + 2b = 2c

• a + b = c

• a^2 - b^2 = c^2

Tags

CCSS.8.G.B.8

If the hypotenuse of a right triangle is 10 units long and one of the shorter sides is 6 units long, what is the length of the other shorter side?

• 8

• 4

• 5

• 12

Tags

CCSS.8.G.B.7

Explain how the Pythagorean Theorem can be used to find the distance between two points on a coordinate plane.

• The Pythagorean Theorem only works for right-angled triangles

• The Pythagorean Theorem is only applicable in 2D space

• The Pythagorean Theorem cannot be used with negative coordinates

• The distance between two points (x1, y1) and (x2, y2) on a coordinate plane is given by sqrt((x2 - x1)^2 + (y2 - y1)^2)

Tags

CCSS.HSG.GPE.B.7

In a right triangle, if one of the angles is 90 degrees, what are the measures of the other two angles?

• 30 degrees and 60 degrees

• 60 degrees and 30 degrees

• 45 degrees each

• 180 degrees and 0 degrees

Tags

CCSS.8.G.A.5

If the two shorter sides of a right triangle are 5 and 12 units long, what is the length of the hypotenuse?

• 20

• 10

• 13

• 15

Tags

CCSS.8.G.B.7

How can the Pythagorean Theorem be used in real-life situations?

• By using the formula a^2 + b^2 = c^2 to find the missing side of a right triangle or to calculate distances in various real-life scenarios.

• By using the formula a + b = c to find the missing side of a right triangle

• By determining the volume of a cube

• By calculating the area of a circle

Tags

CCSS.8.G.B.8

What is the Pythagorean triple for a right triangle with side lengths 9, 12, and 15?

• 8, 15, 17

• 7, 24, 25

• 9, 12, 15

• 5, 12, 13

Tags

CCSS.8.G.B.8