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# What Is the Definition of "hypotenuse"?

**In geometry, the term "hypotenuse" refers to the side of a right triangle that is opposite the right angle, which is also the longest side.** Geometric and trigonometric problems typically use the hypotenuse in the Pythagorean Theorem.

Based on the Pythagorean Theorem, the hypotenuse can be defined as c = sqrt(a^2 + b^2), where c equals the length of the hypotenuse and a and b equal the lengths of the other two sides of a right triangle. The hypotenuse is also used in the trigonometric functions sine and cosine to find a ratio between the length of the hypotenuse and the length of one other side of the triangle. The word hypotenuse comes from a Latin term meaning "length under."

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## How Do You Find the Hypotenuse of an Isosceles Triangle, Given Two Lengths?

A: Use the Pythagorean theorem to calculate the hypotenuse of a right triangle. A right triangle is a type of isosceles triangle. The hypotenuse is the side o... Full Answer >Filed Under: -
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## How Do You Find the Altitude of a Triangle?

A: The length of the altitude of a right triangle is equal to the geometric mean of the line segments of the hypotenuse. The geometric mean can be thought of ... Full Answer >Filed Under: -
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## How Is the Hypotenuse of a Right Triangle Calculated?

A: The hypotenuse of a right triangle is calculated by finding the square root of the sum of the squares of the triangle's legs. It can be expressed using the... Full Answer >Filed Under: -
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## What Does a Triangle Represent?

A: In geometry, the triangle is a polygon that has three sides. There can be different types of triangles, but the sum of the three angles in this polygon is ... Full Answer >Filed Under: