Topics
8. Right Triangles & Trigonometry
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United States of AmericaVirginia
Geometry

8.01 Right triangles and the Pythagorean theorem

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

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

A triangle with the longest side measuring 5units. The triangles has a base of 4 units long and is 3 units tall.
a

First, find the value of the sum of the squares of the shorter sides.

b

Next, find the value of the square of the hypotenuse.

c

Is the triangle a right triangle?

Yes

A

No

B
Easy
2min

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

Easy
3min

Consider three straight lines with lengths $8$8, $6$6 and $19$19 units.

Medium
< 1min

Consider three straight lines with lengths $3$3, $4$4 and $6$6 units.

Medium
1min
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Outcomes

G.TR.4

The student will model and solve problems, including those in context, involving trigonometry in right triangles and applications of the Pythagorean Theorem.

G.TR.4a

Determine whether a triangle formed with three given lengths is a right triangle

G.TR.4g

Solve problems, including those in context, involving right triangles using the Pythagorean Theorem and its converse, including recognizing Pythagorean Triples.

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