Posted by **Priscilla** on Sunday, February 14, 2010 at 10:44pm.

Triangle RST, RS = 30 centimeters, measure of angle T = 105, and measure of angle R = 40. Find the area of triangle RST, to the nearest square centimeter.

- Math -
**drwls**, Monday, February 15, 2010 at 7:18am
Angle S is 35 degrees. (180-105-40)

Side ST's length, which I will call r, can be obtained from the law of sines.

30/sin 105 = r/sin 40 = 31.058

Therefore r = 19.96

The height measured from base RS is:

19.96 sin 35 = 11.45

Tha triangle area is

(1/2)(base)(height) = (0.5)*(30)*11.45

= 171.8 cm^2

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