SOLUTION: The triangle ABC, shown in the diagram, is such that AC=8cm, CB=12cm and angle ACB= theta radians. The areas of the triangle ABC=20cm^2. Show that theta=0.430 correct to three s

Algebra ->  Triangles -> SOLUTION: The triangle ABC, shown in the diagram, is such that AC=8cm, CB=12cm and angle ACB= theta radians. The areas of the triangle ABC=20cm^2. Show that theta=0.430 correct to three s      Log On


   



Question 1032213: The triangle ABC, shown in the diagram, is such that AC=8cm, CB=12cm and angle ACB= theta radians. The areas of the triangle ABC=20cm^2.
Show that theta=0.430 correct to three significant figures.

Answer by ikleyn(52864) About Me  (Show Source):
You can put this solution on YOUR website!
.
Use the formula for the triangle area

S = %281%2F2%29%2Aa%2Ab%2Asin%28alpha%29,

where "a" and "b" are the dimensions of any two sides of a triangle and alpha is the angle between them

(see the lesson Formulas for area of a triangle in this sie).