ACC Pythagorean Theorem Checkpoint 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 can be 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 and b = 4, what is c in a right triangle?

Back

c = 5 (using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

If the lengths of the legs of a right triangle are 6 and 8, what is the length of the hypotenuse?

Back

The hypotenuse is 10 (6² + 8² = 36 + 64 = 100, so c = √100 = 10).

Front

What is the formula to find the missing side of a right triangle?

Back

The formula is a² + b² = c², where c is the hypotenuse.

Front

In a right triangle, if one leg is 5 and the hypotenuse is 13, what is the length of the other leg?

Back

The other leg is 12 (using the Pythagorean Theorem: 5² + b² = 13², so 25 + b² = 169, b² = 144, b = 12).

Front

What is a leg in a right triangle?

Back

A leg is one of the two shorter sides of a right triangle that form the right angle.

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem only works for right triangles.