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1.       Find the side of square whose diagonal is 16cm.
https://www.youtube.com/watch?v=mbipWoZAMkA&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=35

2.       In the figure DE = 1.5 cm, BF = 2.7 cm. What is A(DABC) : A(DADC) ?
https://www.youtube.com/watch?v=4PWYNFRGi_Q&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=34

3.       In DABC, A = 600, C=300 and AC = 6 cm. What is the length of side AB?
https://www.youtube.com/watch?v=Oh4dLA_feEk&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=33

4.       DABC ~DPQR, A(DABC): A(DPQR) = 9 : 25, What is the ratio of lenghts of side BC and QR?
https://www.youtube.com/watch?v=YAWaAVTMdYE&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=32

5.       In DPQR, seg. QS is the geometric mean of seg. PS and seg. RS. If QS = 12, then find one possible value of PS and RS.
https://www.youtube.com/watch?v=Ljq0Lm-zLcQ&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=31

6.       DABC ~ DDBA, If BC ◊ DB = 16, find AB.
https://www.youtube.com/watch?v=cjkr6I5jz50&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=29

7.       Find the side of square whose diagonal is 10cm.
https://www.youtube.com/watch?v=JNW--Vx9xlE&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=28

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8.        



 

 

 

 

 

 

In the given figure, in DPQR, segment RS is the angle bisector of PRQ. If PS = 4, SQ = 6, PR = 10, Find QR.
https://www.youtube.com/watch?v=qGDPzJOMyTw&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=27

2

1.        

In the figure, seg. BE ^ seg. AB and seg. BA ^ seg. AD. If BE = 6and AD = 9, find .


https://www.youtube.com/watch?v=FVl-z7ctlNA&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=26

2

2.        

In figure, line PQ || side ST, R-P-S and R-Q-T. RP = 6, PS = 9, RQ = 8, Find QT.

https://www.youtube.com/watch?v=Rb97KBvT4zU&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=25

2

3.        


In the given figure, in DPQR, segment RS is the angle bisector of PRQ. If PS = 4, SQ = 6, QR = 15, Find PR.

https://www.youtube.com/watch?v=RBMb3kvQ10k&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=24

2

4.        

DABC ~ DMNP & BC : NP = 3 : 4. Find A(DABC) : A(DMNP).
https://www.youtube.com/watch?v=vURhkdGYZ1Q&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=23

2

5.        

Find the diagonal of a square whose side is 20 cm.
https://www.youtube.com/watch?v=yHNsdl5l-Uc&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=22

2

6.        

The side of anequliateral triangle is 10 cm, find its height.
https://www.youtube.com/watch?v=AWW-8qZN2j4&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=21

2

7.        

In the figure, in DABC, AP is median. If AP = 12, AB2 + AC2 = 320, find BC.
https://www.youtube.com/watch?v=E5DGTppYD-c&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=20

3

8.        

DABC is an equilateral triangle. Seg. AX is the perpendicular drawn from A on side BC. Show that AB = 2BX.
https://www.youtube.com/watch?v=4TsP-vpE2vU&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=19

3

9.        

The side of the rhombus is 8 cm and one its angle is 600. Find the lengths of its diagonals.
https://www.youtube.com/watch?v=RNm-8xw_c8Y&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=18

3

10.    

The sides of smaller triangle out of two similar triangles are 4, 5 and 6. If the perimeter of the larger triangle is 90, find its sides.
https://www.youtube.com/watch?v=Mr1OdLI1j70&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=17

3

11.    

In the figure, in DABC, AP is median. If AP = 6, AB2 + AC2 = 122, find BC.
https://www.youtube.com/watch?v=u_rdozsZX58&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=16

3

12.    

In figure, ABC = 900, P is the mid-point of side BC.

Prove that AC2=4AP2-3AB2.

https://www.youtube.com/watch?v=CFSPEZ6KzZI&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=15

3

13.    

Seg. AN and seg. CM are the medians of DABC in which B = 900. Prove that 4(AN2 + CM2) = 5AC2.


https://www.youtube.com/watch?v=dlXjTKvv8go&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=14

4

14.    

Prove that if a line parallel to one side of triangle intersects the other two sides in two distinct points, then the other two sides are divided in the same ratio by it.
https://www.youtube.com/watch?v=dBLDqkIFVto&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=13

4

15.    

In DPQR, Q = 2R, If the angle bisector of Q intersects side PR in S, prove that .
https://www.youtube.com/watch?v=_6m98hw-z3o&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=12

4

16.    

Prove that : In a triangle, if square of a side is equal to the sum of squares of other two sides, then the angle opposite to the first side is a right angle.
https://www.youtube.com/watch?v=r6ub-Mq3EaE&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=11

4

17.    

In the figure, seg. DE || side AB, DC = 2BD, A(DCDE) = 20 sq. cm. Find A(oABDE).
https://www.youtube.com/watch?v=Qc3m66hLgHs&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=10

4

18.    

Prove that : In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
https://www.youtube.com/watch?v=WhyS9HLuelI&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=9

4

19.    

oABCD is a parallelogram. Point O is any point in the plane of oABCD. E is the point of intersection of diagonals of the prallelogram. Prove OA2+OB2+OC2+OD2= AB2+BC2+ 4OE2
https://www.youtube.com/watch?v=nfgEzBE8CYU&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=8

4

20.    

Prove the ratio of areas of two similar triangles is equal to the square of the ration of their corresponding sides.
https://www.youtube.com/watch?v=jDXsl7hmUBE&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=7

5

21.    

In an equilateral triangle ABC, the side BC is trisected at D. Prove that 9AD2 = 7AB2. (HOTS)
https://www.youtube.com/watch?v=dFEinoNj0r0&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=6

5

22.    

Prove that in a triangle the angle bisector divides the side opposite to the angle in the ratio of remaining sides.
https://www.youtube.com/watch?v=F_ur8rWqRKM&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=5

5

23.    

In a right angled triangle, if length of a side is times the hypotenuse, the measure of the angle opposite to that side is 600.
https://www.youtube.com/watch?v=U65SiJDO2N4&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=4

5

24.    

Prove that : If the angles of a triangle are 300, 600 and 900, then the side opposite to 300 is half of the hypotenuse and the side opposite to 600 is times the hypotenuse.
https://www.youtube.com/watch?v=oZxlS5PHyDc&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=3

5

25.    

In o ABCD, M is midpoint of diagonal AC and N is midpoint of diagonal BD.
Prove that AB2 + BC2 + CD2 + DA2 = AC2 + BD2 + 4◊MN2
https://www.youtube.com/watch?v=FFMWDtsKMhY&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=2

5

26.    

In DABC, ABC = 1350, Prove that AC2 = AB2 + BC2 + 4A(DABC)
https://www.youtube.com/watch?v=DPttZNYULbs&list=PLZO5m21ajc77i-fWxaMIddyarafkql1Rm&index=1

5