Quadrilateral with area and 2 sides only

Hi

I have 2 triangles when joined by a common side form a quadrilateral:

1. right angled triangle with the opposite side about 17 metres

2. non-right angled triangle with one side of about 21 metres.

Joined together their area is about 200m squared.

The adjacent side of the right angled triangle joins the non-right angled triangle so they share a side.

I'm trying to find the length of the shared side and the unknown side of the non-right angled triangle.

I'm thinking something like 200=x+y

Where x is area of right triangle and y is area of non right triangle

x=0.5(17)(shared side)

y=0.5(shared side)h(somehow?).

I was thinking of Herons rule but I dont have enough information and it would be a lot of working.

Any ideas?

Regards,

Neverquit

1 Attachment(s)

picture . this is the best I can do

Hi I have done a rough drawing attached. This is the best I can do.

I was thinking that the triangle bcd could be solved with sine rule for area. I am trying to work out length of bd and cd..

Thanks,

Neverquit