Pythagorean Theorem Solving for a, b, & c 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 can be expressed as: a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

What are the legs of a right triangle?

Back

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

Front

If one leg of a right triangle is 14 inches and the other leg is 20 inches, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 14² + 20²; c² = 196 + 400; c² = 596; c = √596 ≈ 24.5 inches.

Front

What is the formula to find the length of a missing leg in a right triangle?

Back

To find a missing leg (a or b), use the formula: a² = c² - b² or b² = c² - a².

Front

If the hypotenuse is 25 inches and one leg is 7 inches, what is the length of the other leg?

Back

Using the formula: b² = c² - a²; b² = 25² - 7²; b² = 625 - 49; b² = 576; b = √576 = 24 inches.

Front

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

Back

In a right triangle, the length of the hypotenuse is always greater than either leg.

Front

Can the Pythagorean Theorem be used for obtuse triangles?

Back

No, the Pythagorean Theorem cannot be used for obtuse triangles.

Front

What is the value of c if a = 9 and b = 12?

Back

Using the Pythagorean Theorem: c² = 9² + 12²; c² = 81 + 144; c² = 225; c = √225 = 15.

Front

What is the Pythagorean triple?

Back

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². An example is (3, 4, 5).