Geo Unit 6 Test - Trigonometry

Find the length of the missing side.

Answer explanation

These three numbers--5,12,13-- are one of many "Pythagorean Triples"

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

State if the three side lengths form an acute, obtuse, or right triangle.

15, 16, 20

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

State if the three side lengths form an acute, obtuse, or right triangle.

8, 13, 17

• Acute Triangle

• Right Triangle

• Obtuse Triangle

• Not a Triangle

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

• Multiply that leg by 2
• Use the same length for the second leg
• Multiply that leg by √2
• Divide that leg by √2

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.
• Multiply that leg's length by 2.
• Divide that leg's length by √2.

What is the length of y in this 45-45-90 triangle?

Find the value of y.

Find the value of y.

Write your answer in radical form (not a decimal)

Mathematical Equivalence

ON

Find the value of y.