Topics
6. 2D Geometry
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United States of AmericaVirginia
Grade 8

6.02 Pythagorean theorem

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Use the Pythagorean theorem to determine whether this is a right triangle.

A triangle has all its sides labeled with their lengths. The vertices and its angles are not labeled. The horizontal base has a length of $34$34 units. The left side has a length of $30$30 units. The right side has a length of $16$16 units.
a

Let $a$a and $b$b represent the two shorter side lengths. First find the value of $a^2+b^2$a2+b2.

b

Let $c$c represent the length of the longest side. Find the value of $c^2$c2.

c

Is the triangle a right triangle?

Yes

A

No

B
Easy
3min

Use the Pythagorean theorem to determine whether this is a right triangle.

Easy
3min

Use the Pythagorean theorem to determine whether this is a right triangle.

Easy
3min

Use the Pythagorean theorem to determine whether this is a right triangle.

Medium
< 1min
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Outcomes

8.MG.4

The student will apply the Pythagorean Theorem to solve problems involving right triangles, including those in context.

8.MG.4a

Verify the Pythagorean Theorem using diagrams, concrete materials, and measurement.

8.MG.4b

Determine whether a triangle is a right triangle given the measures of its three sides.

8.MG.4c

Identify the parts of a right triangle (the hypotenuse and the legs) given figures in various orientations.

8.MG.4d

Determine the measure of a side of a right triangle, given the measures of the other two sides.

8.MG.4e

Apply the Pythagorean Theorem, and its converse, to solve problems involving right triangles in context.

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