Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches. You are given that the both the sides are 3. If the first and second value of the ratio x: If the third value of the ratio n: Test the ratio of the lengths to see if it fits the n: You are given that the hypotenuse is 8.

Substituting 8 into the third value of the ratio x: A triangle is right triangle whose lengths are in the ratio of 3: When you are given the lengths of two sides of a right triangle, check the ratio of the lengths to see if it fits the 3: Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 6 inches and 8 inches.

Test the ratio of the lengths to see if it fits the 3 n: Find the length of one side of a right triangle if the length of the hypotenuse is 15 inches and the length of the other side is 12 inches. The length of the side is 9 inches. What is a Triangle? A triangle is a right-angled triangle whose lengths are in the ratio of 5: It is another example of a special right triangle. They are usually written as 3, 4, 5 and 5, 12, Two other commonly used Pythagorean Triples are 8, 15, 17 and 7, 24, Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page. More Geometry Lessons In these lessons, we will learn about special right triangles: Recognizing special right triangles can provide a shortcut when answering some geometry questions. A special right triangle is a right triangle whose sides are in a particular ratio, called the Pythagorean Triples.

You can also use the Pythagorean theorem , but if you can see that it is a special triangle it can save you some calculations. The following figures show some examples of special right triangles and Pythagorean Triples. Scroll down the page if you need more explanations about special right triangles, Pythagorean triples, videos and worksheets.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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