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 set up an equation using the Pythagorean Theorem?

Back

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 leg in a right triangle?

Back

Front

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 side opposite the 30° angle is the shortest, the side opposite the 60° angle is √3 times the shortest, and the hypotenuse is twice the shortest side.

Front

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

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.

Front

How can the Pythagorean Theorem be used in real life?

Back

The Pythagorean Theorem can be used in various real-life applications such as construction, navigation, and determining distances.

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.