Pythagorean Theorem Review

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 are the legs of a right triangle?

Back

The legs of a right triangle are the two sides that form the right angle. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.

Front

If a right triangle has legs of 3 feet and 4 feet, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 3² + 4² = c²; 9 + 16 = c²; 25 = c²; c = 5 feet.

Front

How do you find the diagonal of a rectangle using the Pythagorean Theorem?

Back

To find the diagonal (d) of a rectangle, use the formula: d² = width² + height².

Front

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

Back

In a right triangle, the sum of the squares of the lengths of the two legs equals the square of the length of the hypotenuse.

Front

Can a triangle with sides 5, 12, and 13 be a right triangle?

Back

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

Front

What is the formula to calculate the area of a right triangle?

Back

The area (A) of a right triangle can be calculated using the formula: A = (1/2) * base * height.

Front

What is a right triangle?

Back

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

Front

If a TV screen is 30 inches tall and 40 inches wide, what is the diagonal size?

Back

Using the Pythagorean Theorem: 30² + 40² = c²; 900 + 1600 = c²; 2500 = c²; c = 50 inches.

Front

What does it mean if a triangle is not a right triangle?

Back

If a triangle is not a right triangle, it means that none of its angles measure 90 degrees.