The Secrets of Pythagoras

If one leg of a right triangle is 8 units long and the hypotenuse is 10 units long, what is the length of the other leg?

• 6 units

• 4 units

• 2 units

• 18 units

In a right triangle, if the lengths of the two legs are 12 units and 16 units, what is the length of the hypotenuse?

• 20 units

• 28 units

• 14 units

• 24 units

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This can be written as:

• a^2 + b^2 = c^2

• a^2 = b^2 + c^2

• a^2 - b^2 = c^2

• a^2 + b^2 + c^2 = 0

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

• 14 units

• 12 units

• 8 units

• 10 units

A triangle has sides of lengths 8 units, 15 units, and 17 units. Is this triangle a right triangle?

• Yes

• No

A right triangle has a leg of 9 units and a hypotenuse of 15 units. What is the length of the other leg?

• 8 units

• 12 units

• 6 units

• 10 units

Which of the following sets of numbers could be the lengths of the sides of a right triangle?

• 3, 4, 5

• 5, 5, 5

• 2, 2, 3

• 10, 20, 25

If a right triangle has legs of lengths 7 units and 24 units, what is the length of the hypotenuse?

• 25 units

• 31 units

• 17 units

• 26 units

A ladder is leaning against a wall, reaching a height of 12 units from the ground. If the ladder is 13 units long, how far is the base of the ladder from the wall?

• 5 units

• 12 units

• 13 units

• 6 units

In a right triangle, the length of one leg is 3/4 the length of the other leg. If the hypotenuse is 10 units long, what is the length of the shorter leg?

• 6 units

• 8 units

• 4.5 units

• 7.2 units