*Remember though, that you could use any variables to represent these lengths.*

*Remember though, that you could use any variables to represent these lengths.*

This is common unless you are working on an applied problem.

There are many different kinds of real-life problems that can be solved using the Pythagorean theorem.

You can still use the Pythagorean theorem in these types of problems, but you will need to be careful about the order you use the values in the formula. The side opposite the right angle has a length of 12.

Therefore, we will write: \(8^2 y^2 = 12^2\) This is the same as: \(64 y^2 = 144\) Subtracting 64 from both sides: \(y^2 = 80\) Therefore: \(\beginy &= \sqrt \\ &= \sqrt \\ &= \bbox[border: 1px solid black; padding: 2px]\end\) In this last example, we left the answer in exact form instead of finding a decimal approximation.

After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles.

At that moment, what is the shortest distance between the two hikers? Label any unknown value with a variable name, like x.

This is something that you will not need to do in every course, but it does come up.

A right triangle has a hypotenuse of length \(2x\), a leg of length \(x\), and a leg of length y.

But, the length of any side of a triangle can never be negative and therefore we only consider the positive square root.

In other situations, you will be trying to find the length of one of the legs of a right triangle.

## Comments How To Solve A Pythagorean Theorem Problem

## Pythagorean Theorem Calculator

Pythagorean Theorem calculator, formula, work with steps, step by step calculation, real world and practice problems to learn how to find any unknown side length of a right triangle.…

## Pythagoras Theorem - Math Is Fun

It is called "Pythagoras' Theorem" and can be written in one short equation a 2 + b 2 = c 2. Note c is the longest side of the triangle; a and b are the other two sides ; Definition. The longest side of the triangle is called the "hypotenuse", so the formal definition is…

## Pythagorean theorem intro problems article

Pythagorean theorem intro problems. CCSS Math 8. G. B.7. Practice using the Pythagorean theorem to solve for missing side lengths on right triangles. Each question is slightly more challenging than the previous. Practice using the Pythagorean theorem to solve for missing side lengths on right triangles. Each question is slightly more.…

## How to solve a pythagorean theorem problem

How to solve a pythagorean theorem problem. Asherman’s Syndrome All you need to know. Surrogacy can make your dream of child come true. Asherman’s Syndrome It’s possible to get pregnant after treatment. Ways to start an argumentative essay spatial problem solving with cuisenaire rods tangram-type problems.…

## Word problems on Pythagorean Theorem

Learn how to solve different types of word problems on Pythagorean Theorem. Pythagoras Theorem can be used to solve the problems step-by-step when we know the length of two sides of a right angled triangle and we need to get the length of the third side.…

## Pythagorean theorem word problems - Basic

Pythagorean theorem word problems. Pythagorean problem # 2 A 13 feet ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 feet Will the ladder the top of the wall. If you can solve these problems with no help, you must be a genius! Recommended Scientific Notation Quiz Graphing.…

## Use Pythagorean theorem to find right triangle

Find the length of the hypotenuse or a leg of a right triangle using the Pythagorean theorem. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.and *.are unblocked.…

## Uses of Pythagoras's Theorem in Real Life

You may have heard about Pythagoras's theorem or the Pythagorean Theorem in your math class, but what you may fail to realize is that Pythagoras's theorem is used often in real life situations. Gain a better understanding of the concept with these real-world examples.…

## How to solve a pythagorean theorem problem -

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## Pythagorean Theorem word problems -

These word problems based on the Pythagorean Theorem are suitable for 7th,8th, 9th grade, and are basic in nature. Each word problems has a short video that provides the answer, and directions for solving each example problem. Each of these problems can be solved using these four steps.…