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 is a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

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

If one side of a right triangle is 15 and the other is 20, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c² = 15² + 20²; c² = 225 + 400; c² = 625; c = 25.

Front

Which equation can be used to find the length of a missing side in a right triangle?

Back

The equation a² + b² = c² can be rearranged to find any missing side.

Front

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

Back

In a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).

Front

If the hypotenuse is 13 and one side is 5, what is the length of the other side?

Back

Using the Pythagorean Theorem: 5² + b² = 13²; 25 + b² = 169; b² = 144; b = 12.

Front

What does 'a' and 'b' represent in the Pythagorean Theorem?

Back

'a' and 'b' represent the lengths of the two legs (shorter sides) of a right triangle.

Front

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

Back

The area of a right triangle is calculated as (1/2) * base * height.

Front

Can the Pythagorean Theorem be used for non-right triangles?

Back

No, the Pythagorean Theorem only applies to right triangles.