Pythagoras Test Review

What kind of triangles does the Pythagorean Theorem work with?

• Right

• Left

• Isosceles

• Equilateral

Tags

CCSS.8.G.B.8

Identify the formula used to solve for the hypotenuse?

• a²+b²=c²

• a+b=c

• a²-b²=c²

• c-a=c

Tags

CCSS.8.G.B.8

Calculate the length of x?

• 5

• 7

• 8

• 25

Tags

CCSS.8.G.B.7

Calculate the length of x?

• 5.7

• 10.6

• 20

• 400

Tags

CCSS.8.G.B.7

If a right triangle has a hypotenuse of 10 inches and one leg that measures 6 inches, what is the length of the other leg?

• 8 inches

• 4 inches

Tags

CCSS.8.G.B.7

In a right triangle, the lengths of the legs are 9 meters and 12 meters. What is the length of the hypotenuse?

• 15 meters

• 21 meters

• 18 meters

• 24 meters

Tags

CCSS.8.G.B.7

A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?

• 12 cm

• 10 cm

• 8 cm

• 6 cm

Answer explanation

In a right triangle, the Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. Therefore, the length of the other leg is √(13^2 - 5^2) = 12 cm.

Tags

CCSS.8.G.B.7

A ladder is leaning against a wall, reaching a height of 15 feet. If the base of the ladder is 9 feet away from the wall, how long is the ladder?

• 17 feet

• 18 feet

• 24 feet

• 12 feet

Tags

CCSS.8.G.B.8

If the hypotenuse of a right triangle is 13 cm and one leg is 5 cm, what is the length of the other leg?

• 12 cm

• 10 cm

• 8 cm

• 14 cm

Tags

CCSS.8.G.B.7

A right triangle has a leg of 8 units and a hypotenuse of 17 units. What is the length of the other leg?

• 15 units

• 9 units

Tags

CCSS.8.G.B.7