Basics
What is the Pythagorean Theorem?
In a 45-45-90 triangle, if each leg is 7, what is the length of the hypotenuse?
7√2
What is the opposite side of a right triangle with a 30° angle and a hypotenuse of 10.
1
Find angle A if sin A = 0.5
30°
What do you call a triangle where all angles are less than 90-degree angle?
A acute triangle
What are the three main trigonometric ratios?
Sine(sin), Cosine(cos), Tangent(tan)
In a 30-60-90 triangle, if the shorter leg is 5, what is the length of the longer leg?
5√ 3
What is the adjacent side of a right triangle of 60° angle and a hypotenuse of 10?
5
If tan B = 1, what is angle B?
45°
What do you call a triangle with one 90-degree angle?
A Right triangle
What is the sine ratio?
Opposite over hypotenuse
In a 30-60-90 triangle, if the hypotenuse is 12, what is the length of the shorter leg?
6
What is the angle of a right triangle has an opposite side of 6 angle and an adjacent side of 8?
tan-1(0.75) ≈ 36.9°
Find angle C if cos C = 0.866
30°
What is the longest side of a right triangle?
The hypotenuse
How is cosine represented in a right triangle?
Adjacent over hypotenuse
True or False: In 45-45-90 triangle, the hypotenuse is twice as long as a leg.
False
A right triangle has one angle of 72° and an opposite side of 20 units. What is the adjacent side?
6.5 units
What is the angle if sinθ = 1
90°
What are the two shorter sides of a right triangle called?
The legs
What are the two types of triangles?
45-45-90 and 30-60-90
What is the ratio of the sides in a 45-45-90 triangle?
1:1:√ 2
If a right triangle has one angle of 35° and an adjacent side of 12 units, what is the opposite side?
8.40 units
What is the angle if tanθ = 0
0°
What is the angle opposite the hypotenuse in a right triangle?
Right angle