Pythagorean Theorem, Pythagorean Converse, Special Right Triangles

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

• 12.4 ft

• 16.9 ft

• 15.2 ft

• 7.8 ft

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

Solve for x.

• 34

• 17

• 68

If the Pythagoras property holds, the triangle must be _____

• right angled

• acute angled

• obtuse angled

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

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

• yes

• no

Do the 3 side lengths form a right triangle?

• yes, it is a right triangle.

• no, it is not a right triangle.

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

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