Monday

September 15, 2014

September 15, 2014

Posted by **Sanjna** on Friday, September 30, 2011 at 4:44am.

find : (i) OP :OC

(ii) areas of triangle BOC and PBC

(iii) areas of /\ ABC and parallelogram ABCD ? ?

- Geometry -
**Reiny**, Friday, September 30, 2011 at 9:37amDid you make your sketch?

Notice that ∆PBO is similar to ∆CDO

let PB = 1, then CD = 2 (remember AB was bisected)

then OP : OC = 1 : 2

let's fill in areas:

∆POB = 40 (given)

∆PBO = 40 , (same base, same height)

∆COD = 160 ( areas proportional to square of sides)

let ∆BCO = x

let ∆AOD = y

x + 160 = y + 80

y = x+80

now look at ∆PBC and ABD , they have the same height, but bases of 1 and 2

so x+40 = (1/2)(y+80)

2x + 80 = y+80

2x = y , ahhhh!

then 2x = x+80

x = 80 and y = 160

Now we know it all, take it from here.

**Answer this Question**

**Related Questions**

Geometry - D is the mid-point of side AB of the triangle ABC, E is mid-point of ...

geometry! - ABCD is a parallelogram. E is a point on AB such that 234×AE=EB. Let...

geometrY! - ABCD is a parallelogram. E is a point on AB such that 234×AE=EB. Let...

geometry - ABCD is a parallelogram. E is a point on AB such that 234×AE=EB. Let ...

maths --plse help me.. - ABCD IS A PARALLELOGRAM, G IS THE POINT ON AB SUCH THAT...

maths --plse help me.. - ABCD IS A PARALLELOGRAM, G IS THE POINT ON AB SUCH THAT...

Geometry - ABCD is a parallelogram. P is a point on AB such that AP:AB = 1:4. Q ...

geometry - Open that link please please help me with my assignments 1. in the ...

geometry - in the xy coordinate plane point b (-3,2) and point d (3,-4)are ...

GEOMETRY URGENT PLEASE - (imageshack)(.)us(/)photo (/) my-images (/)42(/)2vja. ...