Home
Class 9
MATHS
P and Q are respectively the mid-points...

P and Q are respectively the mid-points of sides AB and BC of a triangle ABC and R is the mid point at AP, show that
(i) ar (PQR) = ` 1/2` ar (ARC)
(ii) ar (RQC) = `3/8` ar (ABC)
(iii) ar (PBQ) = ar (ARC)

Text Solution

Verified by Experts

The correct Answer is:
`triangle ABC `
Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 11.3|15 Videos

  • CIRCLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 12.6|4 Videos

Similar Questions

Explore conceptually related problems

D,E and F are respectively the mid-points of the sides BC, CA and AB of triangle ABC show that (i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4 ar (ABC) (iii) ar (BDEF) = 1/2 ar (ABC)

In a triangle ABC, E is the mid-point of median AD. Show that ar (BED) = (1)/(4) ar (ABC).

In a triangle ABC, E is the mid - point of median AD. Show that ar (BED) =1/4 ar (ABC)

D, E and F are respectively the mid-points of sides AB, BC and CA of Delta ABC . Find the ratio of the areas of Delta DEF and Delta ABC .

IF P,Q,R and S are respectively the mid-points of the sides of a parallelogram ABCD show are (PQRS) = 1/2 ar (ABCD)

If D, E, F are respectivley the mid points of AB, AC and BC respectively in a triangle ABC, then vec BE + vec AF =

IN the figure, P is a point in the interior of a parallelogram ABCD. Show that (i) ar(APB) + ar(PCD) = 1/2 ar (ABCD) (ii) ar (APD) + ar(PBC) = ar(APB) + ar (PCD)

If E,F, G and H are respectively the mid-points of the sides of a parallelogram ABCD, show that ar (EFGH) = (1)/(2) ar (ABCD)

If D,E and F are the mid-points of the sides BC,CA and AB, respectively of a DeltaABC and O is any point, show that (i) AD+BE+CF=0 (ii) OE+OF+DO=OA+OB+OC