Pythagorean Theorem Review

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as: a² + b² = c².

Front

Is the statement 'a² + b³ = c⁴' true or false?

Back

False. The correct form of the Pythagorean Theorem is a² + b² = c².

Front

Which set of measurements could be the side lengths of a right triangle? 10 cm, 12 cm, 16 cm, 20 cm, 21 cm, 29 cm, 30 cm, 32 cm, 42 cm, 40 cm, 42 cm, 56 cm

Back

20 cm, 21 cm, 29 cm can be the side lengths of a right triangle.

Front

What is the opposite of squaring a number?

Back

The opposite of squaring a number is taking the square root.

Front

Find the missing side: If one side is 5 cm and the other side is 12 cm, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 13 cm.

Front

Find the length of the missing side: If one side is 30 cm and the hypotenuse is 34 cm, what is the length of the other side?

Back

The length of the other side is 16 cm.

Front

What is the formula to find the hypotenuse in a right triangle?

Back

The formula to find the hypotenuse is c = √(a² + b²).

Front

If a right triangle has legs of lengths 8 cm and 15 cm, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 17 cm.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What does 'leg' refer to in a right triangle?

Back

In a right triangle, the 'legs' are the two sides that form the right angle.