Pythagorean Converse, Special Right Triangles

Where is the hypotenuse located in a right triangle?

• Always the top side

• Always the bottom side

• Always the side opposite the right angle

• Always the side that is touching the right angle

Using the given figure, what would be the correct way to set up an equation to solve for x using the Pythagorean Theorem?

• Not enough information provided

Use the Converse of the Pythagorean Theorem to determine which set of side lengths does NOT form a right triangle?

• 12, 16, 20

• 63, 16, 65

• 36, 77, 85

• 14, 15, 29

The lengths of a triangle are given below. Use the Converse of the Pythagorean Theorem to determine if the triangle is obtuse, acute, or right?
4, 5, 6

• right

• obtuse

• acute

• Not enough information provided

The lengths of a triangle are given below. Use the Converse of the Pythagorean Theorem to determine if the triangle is obtuse, acute, or right?
7, 19, 15

• right

• obtuse

• acute

• Not enough information provided.

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Not enough information provided

• Equilateral

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.

• Multiply that leg's length by 2.

Which side is the short leg of this 30-60-90 triangle?

• 6

• m

• n

• Not enough information provided

I have been given the short leg (4) in this 30-60-90 triangle.  How do I find the long leg?

• Multiply 4 by 2

• Divide 4 by 2

Find the length of side a.