Aad,&L £I g„ - PSBB Schools · 18) P-e)w was S& pot-e- 2z4h wz eyta rrizzi ow_of IV ,how40-ehe...
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ST-D: IX AREAS OF PARALLELOGRAMS AND TRIANGLES
(Extra Riders & Numerical sums )
1) In A ABC ,
D E and F are the midpoints of BC. AC
and AB respectively.
If ar ( A ABC) = 40 cm2
Find the ar (AEDF )
ABC,
F and D are the midpoints of the sides
AB and BC respectively
If ar (BFGD ) = 20cm2
Find the ar ( A AGC )
In II gm ABCD,
E and F are the midpoints of the sides
BC and DC respectively.
If ar ( A ABE) = 10 cm2
Find the ar ( ABCD )
ABCD is a II gm
DP = PC & BC = CQ
If ar ( A COP )= 10cm2
Find the ar (1Igm ABCD )
2)
4)
ar \ DEC) = 20cm'
Find ar ( A DFA ) If ABCD is a lIgm
In the figure, AC 11 DE
If ar) quad. ABCD) = 45 cm'
Find the area of ( A ABE )
7) In the figure.
BD = DE = EC.
If • ar 1 ABD ) = 25cm1
Find (i) ar r 1 ABE )
a ( \ ABC).
8) ABCD & BPQR are II'
ff ar ( ABCD ) = 40 cm`
Find ar ( BPQR )
ABCD is a lIgm
DC = CE
If ar ( \ ADE )= 50 cm2
Find ar (IIGm ABCD )
11) In ,AABC. D is the midpoint of AB
And CO 11 DP
Prove that art \ BOP 2 ar ( ABC )
12)
D Diagonals AC and BD of a quad ABCD
intersects at 0, such that OC = OA.
If AB = CD, prove that ABCD is a parallelogram
13) \ ABC and \ ABD are in the same base AB
CD is bisected by AB at O..
Prove that am \ ABC) = ar \ ABD )
14) In ABC, D,E & F are the midpoints of the sides AB, BC & CA respectively.
Show that ar ( DEF) = ar ( ABC).
9) ABCD is a trapezium.
Ar \ AOC) 18
10)
Find ar ( BOC
A
15) ABCD, DCFE, and ABFE are
Show that ar ( AED= ar ( BFC ) C
11) The diagonals AC and BD of a H' ABCD
Intersect at 0
Show that ar ( trap AXYD) = ar ( trap XBCY ) 4c
In the figure ar i \ BDC ) = ar (_5 BEC )
Prove that DE 11 BC.
19) In the figure ,MO = ON
Prove that ar ( S LMO ) = ar ( S AON )
O
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t•J
16) 0 ABCD is a II'
0 is anv point on the diagonal AC
Show that ar ( AOB ) = ar ( o AOD )
17) In the figure ABCD is a quad and BE II AC &
also BE meets DC produced at E.
Show that ar ADE ) = ar ( quad ABCD )
211 S and T. are the midpoints of PG and PR
If ar PQR ) = 48 cm 2
Find TSO )
22) "AZ
AD and BE are the perpendicuiars to the
Sides BC and AC of A ABC.
BC = 16cm, AC = 9.6cm & AD = 6cm ,find BE.
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