# How To Solve A Pythagorean Theorem Problem

The easiest way to see that you should be applying this theorem is by drawing a picture of whatever situation is described.Two hikers leave a cabin at the same time, one heading due south and the other headed due west.If it isn’t, then you can’t use the Pythagorean theorem.

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Due south and due west form a right angle, and the shortest distance between any two points is a straight line.

Therefore, we can apply the Pythagorean theorem and write: $$3.1^2 2.8^2 = x^2$$ Here, you will need to use a calculator to simplify the left-hand side: $$17.45 = x^2$$ Now use your calculator to take the square root. $$\beginx &= \sqrt \\ &\approx 4.18 \text\end$$ As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem.

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high.

Find the distance of the foot of the ladder from the bottom of the wall. Here, the ladder, the wall and the ground from a right-angled triangle. According to Pythagorean Theorem, xx = 5 Therefore, distance of the foot of the ladder from the bottom of the wall = 5 meters. The height of two building is 34 m and 29 m respectively.

If the distance between the two building is 12 m, find the distance between their tops.

## How To Solve A Pythagorean Theorem Problem Coursework Essay Bank

Solution: The vertical buildings AB and CD are 34 m and 29 m respectively.Write an expression that shows the value of $$y$$ in terms of $$x$$.Since no figure was given, your first step should be to draw one. A person has to walk 100 m to go from position X in the north of east direction to the position B and then to the west of Y to reach finally at position Z.The position Z is situated at the north of X and at a distance of 60 m from X. PS = 80 Therefore perimeter of the rectangle PQRS = 2 (length width) = 2 (150 80) m = 2 (230) m = 460 m 4.Draw DE ┴ AB Then AE = AB – EB but EB = BC Therefore AE = 34 m - 29 m = 5 m Now, AED is right angled triangle and right angled at E.If you're seeing this message, it means we're having trouble loading external resources on our website.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.Table of Contents In the examples below, we will see how to apply this rule to find any side of a right triangle triangle.As in the formula below, we will let a and b be the lengths of the legs and c be the length of the hypotenuse.

## Comments How To Solve A Pythagorean Theorem Problem

• ###### 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.…

• ###### 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.…

• ###### 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.…

• ###### 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.…

• ###### 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 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.…

• ###### How to solve a pythagorean theorem problem -

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• ###### 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.…