Find Remaining Angles and Sides

Find remaining angles and side if they exist. If no triangle exists, say "No triangle"

a=4 a=1 y=100 degrees

(the problem does not state where angle y lies) please solve and explain process I am doing a similar problem but found this one in the book.

Re: Find Remaining Angles and Sides

Re: Find Remaining Angles and Sides

Quote:

Originally Posted by

**Shakarri** What is a?

I love your signature btw Shakarri :D

Re: Find Remaining Angles and Sides

Quote:

Originally Posted by

**Shakarri** What is a?

Oh that was totally my fault it is a=4 b=1 and y=100 degrees

Re: Find Remaining Angles and Sides

If y is the angle between sides a and b then you can find the third side by using the "cosine law":

$\displaystyle c^2= 4^2+ 1^2- 2(4)(1)cos(100)$

You can then find the angle opposite, say, a, using the "sine law":

$\displaystyle \frac{sin(a)}{4}= \frac{sin(100)}{c}$.

If angle y is NOT between the two sides, then there is no such triangle.