Find the hypotenuse of a right triangle worksheet

Here we will learn about the hypotenuse including how to find the length of the hypotenuse, how to use the hypotenuse to find other missing sides and angles in right angle triangles and how to calculate other values such as the volume or perimeter using the hypotenuse.

Log In Join. View Wish List View Cart. Middle school. High school. Adult education. Resource type. Independent work.

Find the hypotenuse of a right triangle worksheet

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle. Let us learn more about the Pythagoras theorem, the Pythagoras theorem formula , and the proof of Pythagoras theorem along with examples. The Pythagoras theorem states that if a triangle is a right-angled triangle, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. It is to be noted that the hypotenuse is the longest side of a right-angled triangle. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle. Pythagoras theorem was introduced by the Greek Mathematician Pythagoras of Samos. He was an ancient Greek philosopher who formed a group of mathematicians who worked religiously on numbers and lived like monks. Although Pythagoras introduced the theorem, there is evidence that proves that it existed in other civilizations too, years before Pythagoras was born. The oldest known evidence is seen between the 20th to the 16th century B. C in the Old Babylonian Period. The Pythagorean theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the squares of the other two legs. Another way to understand the Pythagorean theorem formula is using the following figure which shows that the area of the square formed by the longest side of the right triangle the hypotenuse is equal to the sum of the area of the squares formed by the other two sides of the right triangle.

Basic operations. The other example is for if given the side x sq rt 3find the short leg x and the hypotenuse 2x.

These printable worksheets have exercises on finding the leg and hypotenuse of a right triangle using the Pythagorean theorem. Pythagorean triple charts with exercises are provided here. Word problems on real time application are available. Moreover, descriptive charts on the application of the theorem in different shapes are included. These handouts are ideal for 7th grade, 8th grade, and high school students. Kick into gear with our free Pythagorean theorem worksheets!

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Search for courses, skills, and videos. Special right triangles. The ratios come straight from the Pythagorean theorem. The sides in such triangles have special proportions:. A thirty-sixty-ninety triangle.

Find the hypotenuse of a right triangle worksheet

With this hypotenuse calculator, you will quickly find the longest side of a right triangle. If you want to know what is the hypotenuse of a right triangle, how to find it, and what is the hypotenuse of a triangle formula, you'll find the answer below, with a simple example to clear things up. Don't wait any longer; give this hypotenuse calculator a try! Enter the known parameters , following the labels in the diagram.

Cd macara

Once both questions are answered, students check the answers on the back of the cards, then trade cards and repeat the process with a new partner. Unknown Side of a Right Triangle. Get our weekly newsletter with free resources, updates, and special offers. Scaffolded Notes, Interactive Notebooks. Informational text. Apply Pythagorean theorem to identify whether the given triangle is a right triangle. Unknown Side of a Right Triangle Apply Pythagorean theorem to find the unknown side of the right triangle. So we need to find the base of the triangle CDX. Geometry, Math. These squares are known as Pythagoras squares.

Last Updated: July 23, Fact Checked. This article was co-authored by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience.

Practice Questions on Pythagoras Theorem. Calculate the value of x to 1 decimal place. The length of the hyp. Download the set. As we know one side and one angle, to calculate the hypotenuse we need to use a trigonometric ratio. High school science. This is a right angled triangle and we do not know any of the angles so we need to use Pythagoras theorem. If students answer correctly, the cell will turn green and the path to the next question will appear. Graphic organizers. See below for detailed directions! The Pythagoras property of triangles is another term for the Pythagoras theorem.