Pythagorean Theorem Flashcard

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 a Pythagorean triple?

Back

A Pythagorean triple is a set of three positive integers (a, b, c) that satisfy the equation a² + b² = c².

Front

Do the sides 12 in, 10 in, and 8 in form a right triangle?

Back

No, they do not form a right triangle.

Front

Do the sides 15 cm, 8 cm, and 17 cm form a right triangle?

Back

Yes, they form a right triangle.

Front

What is the formula to check if three sides can form a right triangle?

Back

To check if three sides a, b, and c can form a right triangle, verify if a² + b² = c², where c is the longest side.

Front

Which set of side lengths does not form a right triangle: 38, 80, 90 or 18, 24, 30?

Back

The set 38, 80, 90 does not form a right triangle.

Front

Do the sides 9 ft, 20 ft, and 14 ft form a right triangle?

Back

No, they do not form a right triangle.

Front

What is the longest side of a right triangle called?

Back

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

Front

If a triangle has sides of lengths 6, 8, and 10, does it form a right triangle?

Back

Yes, it forms a right triangle because 6² + 8² = 10².