How do you pythagorean theorem

Usually, surveyors use this technique to find the steep mountainous region, knowing the horizontal region it would be easier for them to calculate the rest using the Pythagoras concept. The fixed distance and the varying one can be looked through a telescope by the surveyor which makes the path easier. If you want to build more conceptual knowledge with the help of practical illustrations try Pythagoras Theorem Worksheets.

Also, check out few more interesting articles related to Pythagoras Theorem for better understanding. Example 1: Consider a right-angled triangle. The measure of its hypotenuse is 16 units. One of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula?

Example 2: Julie wanted to wash her building window which is 12 feet off the ground. She has a ladder that is 13 feet long. How far should she place the base of the ladder away from the building? We can visualize this scenario as a right triangle. We need to find the base of the right triangle formed. Example 3: Kate, Jack, and Noah were having a party at Kate's house. After the party gets over, both went back to their respective houses.

Jack's house was 8 miles straight towards the east, from Kate's house. Noah's house was 6 miles straight south from Kate's house. How far away were their houses Jack's and Noah's? We can visualize this scenario as a right-angled triangle. That means Jack and Noah are hypotenuses apart from each other.

The converse of Pythagoras theorem is: If the sum of the squares of any two sides of a triangle is equal to the square to the third largest side, then it is said to be a right-angled triangle. The Pythagoras theorem works only for right-angled triangles. When any two values are known, we can apply the Pythagoras theorem and calculate the other. The square of the hypotenuse of a right triangle is equal to the sum of the square of the other two sides.

When any two values are known, we can apply the theorem and calculate the other. No, you can't apply the Pythagoras or the Pythagorean theorem to any triangle. It needs to be a right-angled triangle only then one can use the Pythagoras theorem and obtain the relation where the sum of two squared sides is equal to the square of the third side. Learn Practice Download. Pythagoras Theorem The Pythagoras theorem which is also sometimes referred the Pythagorean theorem is the most important formula of a geometry branch.

What Is Pythagoras Theorem? History of Pythagoras Theorem 3. Pythagoras Theorem Formula 4. Pythagoras Theorem Proof 5. Pythagoras Theorem Triangles 6. Pythagoras Theorem Squares 7. Applications of Pythagoras Theorem 8. Examples on Pythagoras Theorem Example 1: Consider a right-angled triangle. Solution: We can visualize this scenario as a right triangle. Therefore, the base of the ladder is 5 feet away from the building.

Solution: We can visualize this scenario as a right-angled triangle. Therefore, the houses are 10 miles away from each other. Have questions on basic mathematical concepts?

Become a problem-solving champ using logic, not rules. The hypotenuse is Remember our steps for how to use this theorem. This problems is like example 1 because we are solving for the hypotenuse.

The legs have length 14 and The hypotenuse is X. Use the Pythagorean theorem to calculate the value of X. Round your answer to the nearest tenth. This problems is like example 2 because we are solving for one of the legs. The legs have length 9 and X. Round your answer to the nearest hundredth. The legs have length '10' and 'X'. The Formula. Examples of the Pythagorean Theorem. Conceptual Animation of Pythagorean Theorem.

Use the Pythagorean theorem to determine the length of X. Step 1 Identify the legs and the hypotenuse of the right triangle. The hypotenuse is red in the diagram below:. Practice Problems. Find the length of X. Show Answer. Step 2 Substitute values into the formula remember 'C' is the hypotenuse.