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). Formula: a² + b² = c².

Front

What do we call the longest side of a right triangle?

Back

The longest side of a right triangle is called the hypotenuse.

Front

What are the two shorter sides of a right triangle called?

Back

The two shorter sides of a right triangle are called the legs.

Front

If one leg of a right triangle is 3 units and the other leg is 4 units, what is the length of the hypotenuse?

Back

The length of the hypotenuse is 5 units (using the Pythagorean Theorem: 3² + 4² = 5²).

Front

True or False: The Pythagorean Theorem can only be used for right triangles.

Back

True.

Front

What is the formula for finding the length of a missing side in a right triangle?

Back

The formula is a² + b² = c², where c is the hypotenuse and a and b are the legs.

Front

If the hypotenuse is 10 units and one leg is 6 units, how do you find the other leg?

Back

Use the formula: b² = c² - a². Here, b² = 10² - 6², so b = 8 units.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?

Back

The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

Front

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Yes, because 5² + 12² = 13² (25 + 144 = 169).