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

## Answer this Question

## Related Questions

- math - Triangle RST is similar to triangle XYZ. If the measure of angle S is 41...
- Geometry - Write an indirect proof that an obtuse triangle does not have a right...
- pre algebra - the measure of the angles of triangle RST are the ratio 2:3:5. ...
- math (please help)! - Geometry ***(PLEASE CHECK MY ANSWER)*** 1. If triangle RST...
- math - the verticies of triangle R(0,12), S(-6,6), and T(4,8). write in slope-...
- math - in a triangle, the measure of the first angle is twice the measure of the...
- Trig/Math - RST is a triangle with right angle S. If s- 21.3 Angstroms and t=8....
- math - In triangle ABC, the measure of angle C is five times the measure of ...
- geometry - If you had two triangles, triangle RST and triangle UVW, and in ...
- Geometry - Ray SP bisects angle RST. m<RSP if m<RST = 5/2y degrees and m&...

More Related Questions