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Pythagorean theorem
Description
Exercise Name: Pythagorean theorem
Math Missions: 8th grade (U.S.) Math Mission, Algebra basics Math Mission, Algebra II Math Mission, High school geometry Math Mission, Trigonometry Math Mission and Mathematics III Math Mission
Types of Problems: 1

The Pythagorean theorem exercise appears under the 8th grade (U.S.) Math Mission, Algebra basics Math Mission, Algebra II Math MissionHigh school geometry Math Mission, Trigonometry Math Mission and Mathematics III Math Mission. This exercise introduces and applies the Pythagorean Theorem.

## Types of Problems

There is one type of problem in this exercise:

1. Find the missing side in the right triangle: This problem displays a right triangle and provides the measure of two sides. The student is expected to find the exact measure of the missing side.

## Strategies

The Pythagorean Theorem is one of the most famous theorem in all of mathematics. This exercise requires knowledge of that theorem and of simplifying radicals.

1. The Pythagorean Theorem says that in a right triangle the sum of the squares of the legs is equal to the square of the hypotenuse. In symbols, ${a^2+b^2=c^2}$ where ${c}$ is the label on the hypotenuse.

## Real-life applications

1. The Pythagorean Theorem was famously used in ancient Egypt for creating monuments and ensuring measuring objects.
2. The Pythagorean Theorem is vital to the development of trigonometry and the applications of trigonometry are practically countless.
3. Geometric concepts, such as the ones used in this exercise, are instrumental in architecture (drafting), art and graphical design.
4. Trigonometry has many applications in astronomy, music, analysis of financial markets, and many more professions.