# math

posted by .

solve each triangle using either the Law of Sines or the Law of Cosines. If no triangle exists, write “no solution.” Round your answers to the nearest tenth.
A = 23°, B = 55°, b = 9
A = 18°, a = 25, b = 18

• math -

In the first case,
C = 180 - 78 = 102 degrees
a = sinA* (b/SinB) = 4.293
c = sinC*(b/sinB) = 10.75

In the second case
sin B = b* (sinA/a) = 0.2225
B = 12.9 or 167.1 degrees

The latter value for B is not possible because the total number of degrees in the triangle would be too high.

C = 149.1 degrees
c = sinC*(a/sinA) = 41.55

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Trig

Should the triangle be solved beginning with Law of Sines of Law of Cosines. Then solve the triangle. Round to the nearest tenth. a=16, b=13, c=10. Cosines A=93 degrees, B=54 degrees, C=33 degrees
2. ### Trig

Should the triangle be solved beginning with Law of Sines of Law of Cosines. Then solve the triangle. Round to the nearest tenth. A=56 degrees, B=38 degrees, a=13. Sines. I get confused on the formula. I know C=86 degrees
3. ### Trig - check my answers plz!

1. (P -15/17, -8/17) is found on the unit circle. Find sinΘ and cosΘ Work: P= (-15/17, -8/17) cosΘ = a value P = (a,b) sinΘ = b value Answer: cosΘ = -15/17 sinΘ = -8/17 2. Should the triangle be solved …
4. ### Alge2/trig

Should the triangle be solved beginning with Laws of Sines or Laws of Cosines. Then solve the triangle and round to the nearest tenth. a=16, b=13, c=10
5. ### Math

For problems 1 and 2, determine how many solutions there are for each triangle. You do not have to solve the triangle. 1. A = 29°, a = 13, c = 27 2. A = 100.1°, a = 20, b = 11 For problems 3-6, solve each triangle using the Law of …
6. ### law of cosines and sines

m<C=70,c=8,m<30 solve the triangle
7. ### Precalc

Okay for this question I know I am supposed to use the law of sines. But how can i tell what side is what?
8. ### Algebra 2

Using the information given about a triangle, which law must you use to solve the triangle?
9. ### Trig-Medians and law of cosines and sines

In triangle ABC, we have AB=3 and AC=4. Side BC and the median from A to BC have the same length. What is BC?
10. ### Trigonometry/Geometry - Law of sines and cosines

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, …

More Similar Questions