Pythagoras Theorem - Diagnostic Assessments

Calculate the length of the hypotenuse in a right-angled triangle with legs of length 3 and 4 units.

• 5

• 6

• 7

• 10

In a right-angled triangle, if the length of the hypotenuse is 10 units and one leg is 6 units, find the length of the other leg.

• 8

• 12

• 4

• 5

Use the Pythagorean theorem to find the length of the hypotenuse in a right-angled triangle with legs of length 5 and 12 units.

• 7

• 10

• 13

• 20

Find the length of one leg in a right-angled triangle with a hypotenuse of 13 units and the other leg of 5 units, using the Pythagorean theorem.

• 15

• 7

• 10

• 12

Solve for the length of a leg in a right-angled triangle with a hypotenuse of 17 units and the other leg of 8 units.

• 15

• 20

• 10

• 12

Identify the hypotenuse and legs in a right-angled triangle with sides of length 9, 12, and 15 units.

• Hypotenuse: 9 units, Legs: 12 units and 15 units

• Hypotenuse: 12 units, Legs: 9 units and 15 units

• Hypotenuse: 15 units, Legs: 9 units and 12 units

• Hypotenuse: 9 units, Legs: 12 units and 9 units

In a right-angled triangle, which side is the hypotenuse if the legs are 7 and 24 units long?

• 31

• 7

• 25

• 15

A ladder is leaning against a wall. If the ladder is 25 feet long and the base is 7 feet away from the wall, how high up the wall does the ladder reach?

• 30 feet

• 15 feet

• 20 feet

• 24 feet