Pythagorean Practice

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

What is a right triangle?

Back

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

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

If a = 3 cm and b = 4 cm, what is c?

Back

c = 5 cm (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

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

Back

In a right triangle, the sum of the squares of the two shorter sides (legs) equals the square of the longest side (hypotenuse).

Front

If c = 10 cm and a = 6 cm, what is b?

Back

b = 8 cm (using the Pythagorean Theorem: 6² + b² = 10²).

Front

True or False: The hypotenuse is always the shortest side of a right triangle.

Back

False. The hypotenuse is always the longest side.

Front

What does 'a' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'a' represents the length of one of the legs of the right triangle.

Front

What does 'b' represent in the Pythagorean Theorem?

Back

In the Pythagorean Theorem, 'b' represents the length of the other leg of the right triangle.

Front

If a = 5 cm and b = 12 cm, what is c?

Back

c = 13 cm (using the Pythagorean Theorem: 5² + 12² = 13²).