Pythagorean Theorem

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: c² = a² + b².

Front

What does it mean for a triangle to be a right triangle?

Back

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

Front

Does the set of numbers 20, 25, 15 represent a right triangle?

Back

Yes, because 20² + 15² = 25² (400 + 225 = 625).

Front

Which set of sides would make a right triangle? 4,5,6 or 5,12,13?

Back

5,12,13. Because 5² + 12² = 13² (25 + 144 = 169).

Front

Find the length of the missing side if one side is 20 cm and the hypotenuse is 25 cm.

Back

The missing side is 15 cm, because 25² - 20² = 15² (625 - 400 = 225).

Front

If one side of a right triangle is 6 cm and the hypotenuse is 10 cm, what is the length of the other side?

Back

The other side is 8 cm, because 10² - 6² = 8² (100 - 36 = 64).

Front

What is the formula for the Pythagorean Theorem?

Back

c² = a² + b².

Front

Is the statement 'c² = a² - b²' true or false?

Back

False. The correct formula is c² = a² + b².

Front

If a right triangle has sides of length 9 cm and 12 cm, what is the length of the hypotenuse?

Back

The hypotenuse is 15 cm, because 9² + 12² = 15² (81 + 144 = 225).

Front

What is the relationship between the sides of a right triangle?

Back

The sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).