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Recent questions tagged Areas of parallelograms and triangles
+1
vote
1
answer
If the medians of a △ABC intersect at G. Show that ar (△AGC) = ar (△AGB) = ar (△BGC) = 1/3 ar (△ABC)
asked
Sep 24, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
0
votes
1
answer
In Fig. 9.31, X and Y are the mid-points of AC and AB respectively, QP ||BC and CYQ and BXP are straight lines. Prove that ar (△ABP) = ar (△ACQ)
asked
Sep 24, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
+1
vote
1
answer
In Fig. 9.30, ABCDE is any pentagon. BP drawn parallel to AC meets DC produced at P and EQ drawn parallel to AD meets CD produced at Q. Prove that ar (ABCDE) = ar(APQ).
asked
Sep 24, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
0
votes
1
answer
In Fig. 9.29, ABCD and AEFD are two parallelograms. Prove that ar (△PEA) = ar (△QFD).
asked
Sep 24, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
+1
vote
1
answer
In Fig. 9.27, ABCD is a parallelogram and BC is produced to point Q such that BC = CO. If AQ intersects DC at P. Show that ar (△BPC) = ar (△DPQ).
asked
Sep 24, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
0
votes
1
answer
ABCD is a quadrilateral [Fig. 9.26]. A line through D, parallel to AC meets BC produced in P. Prove ar (△ABP) = ar (quad. ABCD).
asked
Sep 24, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
+1
vote
1
answer
In Fig. 9.24, ABCD is a parallelogram. Points P and Q on BC trisects BC. prove that ar (△APQ) = ar (△DPQ) = 1/6 ar (||gm ABCD).
asked
Sep 24, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
+1
vote
1
answer
In Fig. 9.23, ABCD is a parallelogram in which BC is produced to E such A B that CE = BC. AE intersects CD at F. If area of △BDF = 3 cm2, find the area of parallelogram ABCD.
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
0
votes
1
answer
ABCD is a trapezium in which AB || DC. DC is produced to E such that CE= AB, prove that ar(△ABD) = ar (△BCE).
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
0
votes
1
answer
In a parallelogram, ABCD, E, F are any two points on the sides AB and BC respectively. Show that ar(△ADF) = ar (△DCE)
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
0
votes
1
answer
In Fig.9.20, AP||BQ||CR. Prove that ar(△AQC) = ar(△PBR).
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
+1
vote
1
answer
In a triangle ABC, E is the mid-point of median AD. Show that ar (△BED) = 1/4 ar (△ABC).
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
+1
vote
1
answer
In Fig. 9.18, X and Y are points on the side LN of the triangle LMN such that LX = XY = YN. Through X, a line is drawn parallel to LM to meet MN at Z. Prove that ar(△LZY) = ar(▱MZYX).
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
0
votes
1
answer
O is any point on the diagonal PR of parallelogram PQRS. Prove that ar (△PSO) = ar (△PQO).
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
0
votes
1
answer
PQRS is a parallelogram whose area is 180 cm2 and A is any point on the diagonal QS. The area of △ASR = 90 cm2. Find this statement is true or false.
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
0
votes
1
answer
ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Then prove that area (△BDE) = 1/4 area (△ABC)
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
+1
vote
1
answer
The medians BE and CF of a △ABC intersect at G. Prove that A area (△GBC) = area of quadrilateral AFGE
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
0
votes
1
answer
ABCD is a parallelogram. P is any point on CD. If A B area(△DPA) = 15 cm2 and area (△APC) = 20 cm2, find the area(△APB).
asked
Sep 24, 2018
in
Class IX Maths
by
navnit40
(
-4,946
points)
areas of parallelograms and triangles
–1
vote
1
answer
D and E are mid-points of BC and AD respectively.If area of △ABC = 10 cm2 , Find area of △EBD.
asked
Sep 22, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
–1
vote
1
answer
In Fig. 9.11, PQRS is a rectangle. If PS = 8cm and SR = 4cm, then find the area of △ABC.
asked
Sep 22, 2018
in
Class IX Maths
by
aditya23
(
-2,182
points)
areas of parallelograms and triangles
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