Pythagorean Theorem Basics

Front

What is the Pythagorean Theorem?

Back

Front

Identify 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 3 and the other side is 4, 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

How do you determine if a triangle is a right triangle using the Pythagorean Theorem?

Back

Front

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

Back

Front

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

Back

Front

If the hypotenuse of a right triangle is 10 and one side is 6, what is the length of the other side?

Back

Front

What is the significance of the Pythagorean Theorem in real life?

Back

The Pythagorean Theorem is used in various fields such as architecture, construction, navigation, and physics to calculate distances and angles.

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.