SOLUTION: Please help me find the area of a triangle if: a=2, b=1, and C=100 degrees. The choices are as follows: 1. 0.98 2. 1.97 3. 0.17 4. 1.53 Thanks, Tami

Algebra ->  Trigonometry-basics -> SOLUTION: Please help me find the area of a triangle if: a=2, b=1, and C=100 degrees. The choices are as follows: 1. 0.98 2. 1.97 3. 0.17 4. 1.53 Thanks, Tami      Log On


   

Question 150316: Please help me find the area of a triangle if:
a=2, b=1, and C=100 degrees.
The choices are as follows:
1. 0.98
2. 1.97
3. 0.17
4. 1.53
Thanks, Tami
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The angle is 100 degrees which is 10 degrees more than a
right angle. The formula for area is %281%2F2%29%2Ab%2Ah,
where b is any of the sides, and once you've
chosen that side for a base, then you find the height, h
I'll choose the side = 1 for a base. The angle, C+=+100degrees
is between this base and the side that = 2
I'll drop a vertical from the end of the side = 2, and that
will be my height
Have you had trig, or is this a trig question?
If so, sin+%2880%29+=+h%2F2
.9848+=+h%2F2
h+=+1.9696
%281%2F2%29%2Ab%2Ah+=+%281%2F2%29%2A1%2A1.9696
A+=+.9848 answer
It looks like the 1st answer is correct