SOLUTION: Find the area of each triangle 1st triangle - 12,18,20 2nd triangle- angle 37 degrees, side 11, side 8

Algebra ->  Test -> SOLUTION: Find the area of each triangle 1st triangle - 12,18,20 2nd triangle- angle 37 degrees, side 11, side 8      Log On


   

Question 1157447: Find the area of each triangle
1st triangle - 12,18,20
2nd triangle- angle 37 degrees, side 11, side 8
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

For the first triangle, apply the Heron's formula.

On Heron's formula, see the lesson
    - Proof of the Heron's formula for the area of a triangle
    - One more proof of the Heron's formula for the area of a triangle
in this site.



For the second triangle, use the formula for a triangle area

            area = %281%2F2%29%2Aa%2Ab%2Asin%28gamma%29,

where "a" and "b" are the lengths of the two given sides of the triangle and gamma is the angle between them.