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 is the formula for finding the hypotenuse in a right triangle?

Back

The formula for finding the hypotenuse is a² + b² = c².

Front

What is a right triangle?

Back

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

Front

If one side of a right triangle is 5 cm and the other side is 12 cm, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: 5² + 12² = c²; 25 + 144 = c²; c² = 169; c = 13 cm.

Front

Which set of sides can form a right triangle? 3, 4, 5 or 2, 2, 3?

Back

The set 3, 4, 5 can form a right triangle because 3² + 4² = 5².

Front

What is the length of the diagonal of a rectangle with a width of 90 meters and a length of 120 meters?

Back

Using the Pythagorean Theorem: 90² + 120² = d²; 8100 + 14400 = d²; d² = 22500; d = 150 meters.

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 a TV has a diagonal measurement of 40 inches and a height of 30 inches, how can you find the width?

Back

Use the Pythagorean Theorem: 30² + b² = 40².

Front

What is the value of c if a = 8 and b = 15 in a right triangle?

Back

Using the Pythagorean Theorem: 8² + 15² = c²; 64 + 225 = c²; c² = 289; c = 17.

Front

What is the area of a right triangle with base 6 cm and height 8 cm?

Back

Area = 1/2 * base * height = 1/2 * 6 * 8 = 24 cm².