Pythagoras Test Review

What kind of triangles does the Pythagorean Theorem work with?

• Right

• Left

• Isosceles

• Equilateral

Identify the formula used to solve for the hypotenuse?

• a²+b²=c²

• a+b=c

• a²-b²=c²

• c-a=c

Calculate the length of x?

• 5

• 7

• 8

• 25

Calculate the length of x?

• 5.7

• 10.6

• 20

• 400

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

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

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.

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

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

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