In these lessons, we will be looking at how to solve different types of word problems using the Pythagorean Theorem.

Related Topics:

More Geometry Lessons

Pythagorean Theorem Worksheets

Related Topics:

More Geometry Lessons

Pythagorean Theorem Worksheets

1. Determine whether the word problem can be modeled by a right triangle.

2. Use the Pythagorean Theorem to find the missing side if you are given two sides.

*Example: *

Shane marched 3 m east and 6 m north. How far is he from his starting point?

* Solution: *

First, sketch the scenario. The path taken by Shane forms a right-angled triangle. The distance from the starting point forms the hypotenuse.

* x* = = 6.71 m

* Example: *

The rectangle *PQRS* represents the floor of a room.

Ivan stands at point *A*. Calculate the distance of Ivan from

b) the corner

* Solution: *

Ivan is 4.47 m from the corner *R* of the room

Ivan is 10.77m from the corner *S* of the room

* Example: *

In the following diagram of a circle, *O* is the centre and the radius is 12 cm. *AB *and *EF* are straight lines.

Find the length of *EF* if the length of *OP* is 6 cm.

* Solution: *

6 2 +

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