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 is expressed as: a² + b² = c².

Front

What type of triangle does the Pythagorean Theorem apply to?

Back

The Pythagorean Theorem ONLY works on right triangles.

Front

If a triangle has sides a=5 and b=12, what is c?

Back

c = 13

Front

A rectangular field is 50 yards wide and 100 yards long. How far does Patrick walk diagonally across the field?

Back

Patrick walks 111.8 yards.

Front

What is the formula for the Pythagorean Theorem?

Back

The formula is a² + b² = c².

Front

If a = 9 and b = 40, what is c?

Back

c = 41

Front

What is the hypotenuse in a right triangle?

Back

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

Front

How do you find the length of the hypotenuse using the Pythagorean Theorem?

Back

To find the hypotenuse, use the formula c = √(a² + b²).

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 triangle has sides of lengths 6 and 8, what is the length of the hypotenuse?

Back

The hypotenuse is 10.