Pythagorean Theorem Basics

Front

What is the Pythagorean Theorem?

Back

Front

What is the hypotenuse in a right triangle?

Back

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

Front

How do you identify the sides of a right triangle?

Back

In a right triangle, the two shorter sides are called the legs, and the longest side is the hypotenuse.

Front

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

Back

Front

What is the formula to find the length of a side in a right triangle using the Pythagorean Theorem?

Back

Front

In a right triangle, if the hypotenuse is 10 and one leg is 6, what is the length of the other leg?

Back

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : √3 : 2. The shortest side is opposite the 30° angle, the longer leg is opposite the 60° angle, and the hypotenuse is the longest side.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

Front

If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?

Back

Front

What is the converse of the Pythagorean Theorem?

Back

The converse states that if in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.