how to find hypotenuse of right triangle

Here's How To Find the Hypotenuse of a Right Triangle

The Pythagorean Theorem is an important theorem, as it comes upward oft in high school math. It makes the question of how to find the hypotenuse of a correct triangle is easy to answer.

Plus, we can employ it to discover the base of a special right triangle and apply the converse of the Pythagorean Theorem. Let's review this basic but foundational concept in trigonometry and how it relates to finding the hypotenuse of a correct triangle.

Defining the Hypotenuse

Offset, let's demystify this term. "Hypotenuse" is simply a term that means "the longest side of a right triangle." The hypotenuse is the opposite side of the right bending in the triangle. It's also the longest side of the triangle.

If a problem asks you to calculate the length of hypotenuse c in a triangle with side a, side b, and hypotenuse c, so you are working with a right-angled triangle.

How the Pythagorean Theorem Applies

The Pythagorean Theorem is a well-known theorem adult by a Greek mathematician named Pythagoras effectually 500 BC. Information technology related the length of the hypotenuse of a correct triangle to the lengths of the legs (the legs of the triangle are the 2 shorter sides). The Pythagorean Theorem states that for any right triangle, the sum of the squares of the lengths of the legs is always equal to the square of the length of the hypotenuse.

The Pythagorean Theorem states that:

Considering of the Pythagorean Theorem, information technology is easy to discover the hypotenuse of a correct triangle if we are given the sides of a right triangle. In fact, if we know the lengths for any two sides (leg A, leg B, and hypotenuse C) we can easily figure out the missing side by applying the formula.

This can help you find any missing side. Merely for now, let's run into an example where we know the length of the sides and want to find the hypotenuse:

Here nosotros know the length of the side (a = 3 and b = 4). If we substitute information technology into the formula, we get:

And by taking the square root on both sides, nosotros figure out that the hypotenuse c = 5!

Summary for Finding the Hypotenuse

The Pythagorean Theorem helps united states of america summate the hypotenuse of a right triangle if nosotros know the sides of the triangle.

In that location are more avant-garde trigonometric functions that allow usa to calculate the tertiary side of a triangle, fifty-fifty not-right triangles, given a particular degree angle and side length.

But either way, practice applying the Pythagorean Theorem until you feel confident with right triangles. Then, you can learn how to observe the 3rd side of any triangle.

More Math Homework Help

• What Is the Converse of the Pythagorean Theorem?
• How To Discover the Base of a Triangle in 4 Different Ways
• How You Use the Triangle Proportionality Theorem Every Day
• Larn To Find the Expanse of a Not-Correct Triangle

Source: https://tutorme.com/blog/post/how-to-find-hypotenuse/

Posted by: benoithoughle.blogspot.com

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