Pythagorean Theorem (Finding the Hypotenuse)

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 works on right triangles.

Front

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

Back

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

Front

What is the formula to find the hypotenuse in a right triangle?

Back

The formula to find the hypotenuse (c) is c = √(a² + b²).

Front

If the lengths of the two legs of a right triangle are 5 cm and 12 cm, what is the length of the hypotenuse?

Back

c = √(5² + 12²) = √(25 + 144) = √169 = 13 cm.

Front

What is a right triangle?

Back

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

Front

In a right triangle, if one leg is 8 cm and the hypotenuse is 10 cm, what is the length of the other leg?

Back

Using the Pythagorean Theorem: a² = c² - b²; a² = 10² - 8²; a² = 100 - 64; a² = 36; a = 6 cm.

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 right triangle has legs of lengths 7 cm and 24 cm, what is the length of the hypotenuse?

Back

c = √(7² + 24²) = √(49 + 576) = √625 = 25 cm.

Front

What is the hypotenuse in a right triangle?

Back

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