Right Triangle Properties

If an triangle is a 45-45-90 triangle. And the hypotenuse is 4√2. What are the length of the legs?

• 4
• 4√3
• 8
• 8√2

What type of triangle will have x√2 and x√2 and x

• 45-45-90
• 60-70-50
• 30-60-90
• 40-50-70

Find out what is the length of leg KL?

• 3
• 2
• 5
• 4

Which ratio corresponds to cos 35?

• 3.0/7.8
• 4.2/7.8
• 4.2/3.0
  
• 3.0/4.2

Which ratio represents cos A in the accompanying diagram ΔABC?

• 13/5
• 12/5
• 12/13
• 5/13

What is the value of tan(θ)?

• 7/25
• 7/24
• 25/24
• 24/25

Find tangent using the angle Φ.

• 4/3
• 4/5
• 3/4
• 5/3

Two trees stand opposite one another, at points A and B, on opposite banks of a river. Distance AC along one bank is perpendicular to BA, and is measured to be 100 feet.  Angle ACB is measured to be 79°.  How far apart are the trees; that is, what is the width w of the river?

• 514.5 ft
• 527.3 ft
• 514.5 m
• 527.3 m

What is the measure of angle A in the right triangle below? 

• 43°
• 38°
• 27°
• 52°

Find sin(x) and cos(x) in the right triangle shown below. 

• sin(x) = 6/10 = 0.6
  cos(x) = 8/10 = 0.8
• sin(x) = 8 / 10 = 0.8  
  cos(x) = 6 / 10 = 0.6 
• sin(x) = 3/10 = 0.3
  cos(x) = 5/10 =0.5
• sin(x) = 5/10 = 0.5
  cos(x) = 3/10 = 0.3