Labeling sides & Ratios
Complementary Angles
Missing Angle
Missing Sides
Pythagorean Theorem
100
Label the sides of the right triangle. (O,A,H)
Purple = Hypotenuse, Blue = Opposite, Pink = Adjacent
100
Complementary angles are angles that sum to ___
90 degrees
100
When solving for a missing angle, you use:
A. The trig function (sin)
B. The inverse of the trig function (sin-1)
B
100
Is there enough information to solve for side b? If so, solve. If not, what additional information will you need.
We need either side a or c.
100
What is the pythagorean theorem and when do we use it?
a2+b2=c2
We use it when we have two sides of a right triangle and want to know the third side.
200
Define the three trig ratios.
sin=O/H
cos=A/H
tan=O/A
200
In the triangle below, which of the following is equal to a/c?
cos(20) cos(70)
sin(20) sin(70)
tan(20) tan(70)
cos(70) and sin(20)
200
Find X
tan-1(284/123)=x
200
Solve for the Opposite side.
sin(57)x24
200
Pythagorean Theorem
Find X
10.7
300
Find the sin and cos of angle B
Sin(B) = 4/5
Cos(B) = 3/5
300
Complementary Angle Theorem
If two angles sum to 90 degrees, their cofunctions are equal.
sin(A) = cos(B)
cos(A) = sin(B)
300
Find the missing angle
sin-1(8/17)
cos-1(15/17)
tan-1(8/15)
300
Find d and e.
d = 58/cos(20)
e = 11/tan(70)
300
True or False: The sides of a triangle are 3, 4, and 5. The triangle is a right triangle.
True. 32+42=52
400
Find the cos(A) and the sin(B)
24/25
400
sin(31) = cos(X)
Find X
90-31
59
400
Find both missing angles using sin().
A= sin-1(10.25/12.85)
B= sin-1(7.75/12.85)
400
Find sides x and y.
x = 7sin(46)
y = 7cos(46)
400
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the eastbound car has traveled 6 kilometers. If the two cars are now a straight-line distance of 10 kilometers apart, how far has the northbound car traveled?
8