Pythagorean Theorem Word Problem Problems

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#1 of 4: Mild

Pythagorean Theorem Word Problem

Maggie makes a diagonal path through her rectangular garden. The path splits the garden into two right triangles. The legs of the triangles are `9` feet and `12` feet. What is the length of the path?

#2 of 4: Mild

Pythagorean Theorem Word Problem

Luisa is making a fort for her little sister by stretching a sheet away from the back of the couch and down to the floor. The sheet forms the hypotenuse of a right triangle. The length of the sheet is `50` inches. The back of the couch is `40` inches tall. What is the distance from the bottom of the couch to the end of the sheet?

#3 of 4: Medium

Pythagorean Theorem Word Problem

Armand walks `5` blocks west and `9` blocks north to visit his friend. His route forms the legs of a right triangle. If Armand could somehow fly home along the hypotenuse of the triangle, what would the distance be?<highlight data-color="#666" data-style="italic">Round your answer to the nearest tenth, if necessary. </highlight>

#4 of 4: Medium

Pythagorean Theorem Word Problem

At baseball practice, Tony leans a `34`-inch bat against the side of the dugout. The bottom of the bat is `10` inches from the wall. How far up the wall does the bat reach?<highlight data-color="#666" data-style="italic">Round your answer to the nearest tenth, if necessary. </highlight>

The Pythagorean Theorem is a fundamental concept in geometry and is often used to solve problems involving right triangles. In 8th grade math, students are required to master the skill of applying the Pythagorean Theorem to solve real-world problems as per common core math teacher.

To practice this skill, students can be given various word problems that involve finding the length of one side of a right triangle given the lengths of the other two sides. These problems can involve a variety of contexts, such as finding the distance between two points on a coordinate grid or the height of a building.

Students must first identify which side o...

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Grade 8

Triangle Theorems

8.G.B.7