12-03-2024 BR Blk1 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). It can be expressed as: c² = a² + b².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY applies to right triangles.

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the side of a right triangle that is opposite the right angle and is the longest side.

Front

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

Back

No, a triangle with sides 4, 5, and 6 is not a right triangle.

Front

What is the formula to find the length of the hypotenuse?

Back

To find the length of the hypotenuse (c) in a right triangle, use the formula: c = √(a² + b²).

Front

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

Back

The hypotenuse is 5 cm, calculated using the Pythagorean Theorem: c = √(3² + 4²) = √(9 + 16) = √25 = 5.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

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

Back

The hypotenuse is 10 cm, calculated using the Pythagorean Theorem: c = √(6² + 8²) = √(36 + 64) = √100 = 10.