Question

G.I. Amatree drew a circle with center O with BC = 2AC. After doing some measuring he calculated the area of ΔABD to be 48 cm². Based on his calculations what would be the area of ΔDCO be?

Answer 1

Let BC=x
Then AC=2x

Answer 2

CO would be equal to x. since DC bisects AO

Answer 3

But BC is longer than CO...

Answer 4

CO cannot be equal to x since BC is equal to x.

Answer 5

Oh oops make AC=x

Answer 6

I got them mixed up. Sorry mate.

Answer 7

I think I can handle OC, but how can I find DC?

Answer 8

So BC=2x

Answer 9

Wait, 2DC = AB · BC, right?

Answer 10

or DC²?

Answer 11

I think I got it. You use similar triangle proof.

Answer 12

Tell me what BO is first.

Answer 13

I think the angle ADO is bisected. SO then ACD is similar to DCO.

Answer 14

BO=OD, because of equal radii.

Answer 15

Then you use corresponding sides in similar triangles to find x first.

Answer 16

Once you do that, you're about 10m to the finish line. ALl you got to do is use pythagoras to find your DC

Answer 17

And then you can find the area after that.

Answer 18

Hmm, it may work.