Units 8, 6, & 7 Potpourri Exam

1. Consider the triangle shown. Explain how you know the given triangle is a 45°, 45°, 90° triangle.

• The triangle has two equal sides and one right angle.

• The triangle has three equal sides.

• The hypotenuse is equal to the leg times the square root of 2 (about 1.41)

• The triangle has one right angle and two different angles.

Consider the triangle shown. Find the missing length.

• 6

• 5

• 7

• 8

Consider the triangle shown. Which of the following explains how you know the given triangle is a 45°, 45°, 90° triangle?

• The triangle has two equal sides, and thus two equal angles.

• The triangle has three equal sides.

• The triangle has two right angles.

• The triangle has one angle greater than 90°.

Consider the triangle shown. b. Find the length of the hypotenuse.

• 3√2

• 2√2

• 4

• 5

The hypotenuse of a 45°, 45°, 90° triangle has a length of 20 centimeters. Find the length of a leg of the triangle.

• 10√2 or 20/√2

• 10

• 20

• 5√2

The hypotenuse of a 45°, 45°, 90° triangle has a length of 68 centimeters. Find the length of a leg of the triangle.

• 34√2 or 68/√2

• 34

• 68

• 68√2

Find the value of x.

• 17√2

• 17

• 34

• Not enough information.

Find the value of x.

• 22

• 22√2

• 11√2 or 22/√2

• 11

Which is equivalent to: √48?

• 4√3

• 2√12

• 3√6

• 9√3

Which is equivalent to 32/√2?

• 16√2

• 8√2

• 32√2

• 4√2