Pythagorean Converse, Special Right Triangles

Fill in the blank

Determine if these lengths will form a triangle. If so, what type of triangle is it?

• Not a Triangle

• Acute Triangle

• Right Triangle

• Obtuse Triangle

Draw a picture and use the Pythagorean Theorem to solve this problem.

• 12.4 ft

• 16.9 ft

• 15.2 ft

• 7.8 ft

Draw a picture and use the Pythagorean Theorem to solve the following problem.

• 6.6 miles

• 7.4 miles

• 10.9 miles

• 8.1 miles

Do these 3 side lengths form a right triangle?
13, 80, and 81?

• yes

• no

Using the converse of the Pythagorean theorem, which set of side lengths shows that a triangle is acute?

• 3, 4, 6

• 5, 12, 13

• 8, 15, 16

• 6, 8, 9

Choose the types of Special Right Triangles

• 30-60-90

• 25-35-90

• 45-60-90

• 45-45-90

Solve for y.

• 13

• 26

Solve for y.

• 25

• 50

• 12.5

Solve for x.

• 20

• 5

• 10