Pythagorean Theorem Basics

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 applies only to right triangles.

Front

What is a right triangle?

Back

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

Front

In the Pythagorean Theorem, what do the variables a, b, and c represent?

Back

In the Pythagorean Theorem, 'a' and 'b' represent the lengths of the legs of the triangle, while 'c' represents the length of the hypotenuse.

Front

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

Back

To find the length of the hypotenuse, rearrange the Pythagorean Theorem formula to c = √(a² + b²).

Front

What is the value of 12²?

Back

12² = 144.

Front

What is the value of 9²?

Back

9² = 81.

Front

If one leg of a right triangle is 12 and the other leg is 9, what is the length of the hypotenuse?

Back

Using the Pythagorean Theorem: c = √(12² + 9²) = √(144 + 81) = √225 = 15.

Front

What is the relationship between the legs of a right triangle and the right angle?

Back

The legs of a right triangle are the two sides that form the right angle.

Front

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

Back

The area of a right triangle can be calculated using the formula: Area = (1/2) * base * height, where the base and height are the lengths of the legs.