Two sides of a triangle are x units and y units in length. The angle between them is theta. Prove that the area of the triangle is 1/2xysin(theta).

I'm not sure how to do this question, I tried drawing a picture but I'm still not understanding it.

1 answer

draw a perpendicular from side x to side y, let it be h
Area of triangle
= (1/2)base x height
= (1/2) y h

but sinØ = h/x
h = xsinØ

so area =(1/2) y xsinØ
= (1/2)xy sinØ
Similar Questions
  1. A right triangle has two sides equal to 8units and 17 units. Which could be the length of the third side of this triangle?
    1. answers icon 1 answer
    1. answers icon 1 answer
    1. answers icon 1 answer
  2. Select the correct answer.In right triangle ABC, b^2 + c^2 = 34 and bc = 15. What is the approximate length of side a? measure
    1. answers icon 1 answer
more similar questions