Pythagorean Theorem and its Converse

Determine if the following side lengths would create a triangle. If so, classify the triangle as acute, right, or obtuse.

12, 35, 37

• not a triangle

• acute

• right

• obtuse

Tags

Right Triangles

Determine if the following side lengths would create a triangle. If so, classify the triangle as acute, right, or obtuse.

15, 19, 34

• not a triangle

• acute

• right

• obtuse

Tags

Right Triangles

Determine if the following side lengths would create a triangle. If so, classify the triangle as acute, right, or obtuse.

8, 12, 14

• not a triangle

• acute

• right

• obtuse

Tags

Right Triangles

Determine if the following side lengths would create a triangle. If so, classify the triangle as acute, right, or obtuse.

21, 28, 36

• not a triangle

• acute

• right

• obtuse

Use the Pythagorean Theorem to find the value of x.

Round to the nearest tenth.

• 13.4

• 6.1

• 21.6

• 19.9

Tags

Right Triangles

Use the Pythagorean Theorem to find the value of x.

Round to the nearest tenth.

• 66.2

• 32

• 65.8

• 31.1

Tags

Right Triangles

A 20-ft. ramp is used at the loading dock of a factory. If the base of the ramp is placed 19 ft. from the base of the dock, how high is the loading dock? Round to the nearest tenth.

• 27.6 feet

• 23.8 feet

• 11.4 feet

• 6.2 feet

Tags

Right Triangles

An Olympic-size swimming pool is approximately 50 meters long by 25 meters wide. What distance will a swimmer travel if they swim from one corner to the opposite? Round to the nearest foot.

• 60 feeet

• 43 feet

• 56 feet

• 75 feet

Tags

Right Triangles