Basic Trig Problems

Trig Ratios

General Triangle Knowledge

Law of Sines

Law of Cos

100

In triangle ABC if A=54 degrees C=90 degrees and a=10. What is the length of c?

c=12.36

100

The ratio that makes up Sine

What is opposite over (or divided by) hypotenuse

100

You are shown a right triangle with a known angle of 40 degrees, what it the measure of the third angle?

50 degrees

100

In triangle ABC if A=46 degrees C=83 degrees and c=21 what is the length of a?

a=15.22

100

In triangle ABC find the length of a when b=5 c=7 and A=28 degrees

a=3.49

200

In triangle ABC if A=60 degrees C=90 degrees and c=18. What is the length of b?

b=9

200

The ratio that makes up Tangent

What is opposite over (or divided by) adjacent

200

which is the longest side in a right triangle

the hypotenuse

200

In triangle ABC if A=62 degrees B=41 degrees and c=16 what is the length of b?

10.77

200

In triangle ABC a=2 b=8 and C=55 degrees. What is the length of c?

c=7.045

300

In triangle ABC if B=23 degrees C=90 degrees and b=4. What is the length of a?

a=9.42

300

Which ratio does not use the hypotenuse

tangent

300

If two triangles have the same angle measures, but different side lengths, what would the triangles be called?

similar triangles

300

In triangle ABC if A=72 degrees B=37 degrees and a=16 what is the length of b?

b=10.12

300

Find the length of b when a=6 c=7, and B=12 degrees

b=1.68

400

In triangle ABC if C=90 degrees and b=12, and a=5. What is the measure of angle A ?

A=22.62

400

What is the acronym used to remember the trig ratios

SOH CAH TOA

400

the name for a triangle with sides of all different lengths

scalene

400

In triangle ABC if B=39 degrees a=6,and b=10 what is the measure of angle A?

A=21.65 degrees

400

In triangle ABC a=8 b=7 and c=5. Find the measure of angle B

B=60 degrees

500

In triangle ABC if C=90 degrees b=8, and c=15. What is the measure of angle B ?

B=32.23

500

Sine, Cosine, and Tangent only work for these kinds of triangles.

right triangles

500

a right triangle has a leg of length 48 and a hypotenuse of length 73. what is the length of the other leg?

55

500

Find the area of triangle ABC when A=48 degrees B=62 degrees and a=13m

94.34m^{2}

500

Solve the triangle ABC when a=8 b=6 and c=7

A=75.5

B=46.6

C=57.9

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