Homework Help: Algebra II

Posted by Samantha on Thursday, May 15, 2008 at 7:50pm.

How do you solve a triangle with two solutions? The problem says that A=40 degrees, b=10, and a=14. So I did this:

14>(10)(sin 40)
And this means that there are two solutions according to the equations my teacher gave me.

What do I do now?

Algebra II - Reiny, Thursday, May 15, 2008 at 8:02pm
by Sine Law :
sinB/b = sinA/a
sinB/10 = sin40/14
sinB = .459134
angle B = 27.33º or 180-27.33º

so B is either 27.33 or 152.67º

draw the two possible triangles, and use the sine law again to find c.
Algebra II - Samantha, Thursday, May 15, 2008 at 8:07pm
Oh, I see. So there would be two solutions for both B and C. I would just solve it like a regular triangle, and B' and C' would be 180 minus the values of B and C. Thanks!
- Algebra II - Reiny, Thursday, May 15, 2008 at 8:18pm
  You got it !!

Answer this Question

Related Questions

Algebra - Evaluate the given function for the value specified. 2. f(x) = x ...
basic geometric - a would like to get someone too help me with these math ...
math - 1)In triangle ABC, C=60 degrees, a=12, and b=5. Find c. A)109.0 B)10.4 C)...
Math - 1. Find the value of Sin^-1(-1/2) a. -30 degrees b. 30 degrees c. 150 ...
Matrh - How do you solve this problem? The avera&e (aritmeticmean)of x and y...
Algebra II/ Trig - Should the triangle be solved beginning with Laws of Sines or...
math - find all solutions in the interval [0,2 pi) sin(x+(3.14/3) + sin(x- 3.14/...
math, beginning algebra - how do i solve the following equations. Problem # 1 3x...
Algebra - Solve z/6+14=z/6+25-z/6 for z. z/6+14=z/6+25-z/6 ___-14____-14 ...
Algebra - To solve the system of equations, which expression could be ...

For Further Reading

First Name:
School Subject:
Answer: