Topics
7. Angles & Triangles
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United States of America
Grade 8

7.06 Problem solving with the Pythagorean theorem

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the perimeter of the triangle shown.

A right triangle with a base measuring $15$15 m and a height measuring $8$8 m. The hypothenuse, side opposite to the right angle indicated by a small square, is unlabeled.
a

First, find the length of the hypotenuse.

b

Now find the perimeter of the triangle.

Easy
1min

Iain’s car has run out of gasoline. He walks $12$12 km west and then $9$9 km south looking for a gasoline station.

If he is now $h$h km directly from his starting point, find the value of $h$h.

Easy
1min

Consider the following figure.

Easy
3min

Consider the following trapezoid.

Easy
3min
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Outcomes

8.G.B.7

Apply the Pythagorean theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

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