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 type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem only applies to right triangles.

Front

If a triangle has sides of lengths 4, 5, and 6, is it a right triangle?

Back

No, it is not a right triangle.

Front

What is the length of the diagonal of a rectangle with a length of 40 yards and a width of 30 yards?

Back

The length of the diagonal is 50 yards.

Front

Do the segment lengths 15, 12, and 9 form a right triangle?

Back

Yes, they form a right triangle.

Front

Solve for x: x² + 16 = 80. What is x?

Back

x = 4√2.

Front

What is the hypotenuse in a right triangle with legs of lengths 3 and 4?

Back

The hypotenuse is 5 (3² + 4² = 5²).

Front

Can the lengths 8, 15, and 17 form a right triangle?

Back

Yes, they can form a right triangle.

Front

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

Back

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Front

If one leg of a right triangle is 6 and the other leg is 8, what is the length of the hypotenuse?

Back

The hypotenuse is 10 (6² + 8² = 10²).