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AB botBC and DE bot AC. Prove that Delta...

`AB botBC` and `DE bot AC`. Prove that `DeltaABC ~ DeltaAED`.

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In a DeltaABC,BD bot CA and CE bot BA , Prove that Delta ABD ~ DeltaACE .

In the given figure, E is a point on side CB produced of an isosceles Delta ABC with AB=AC. . If AD bot BC and EF bot AC , prove tha Delta ABD~ Delta ECF

In the given fig; AB bot BC, FG bot BC , and DE bot AC . Prove that triangleADE ~ triangleGCF .

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is a median. Prove that: DeltaADB~=DeltaADC

In triangle ABC , angle ACB = 90^(@) , CD bot AB and DE bot CB Prove that CD^(2) xxAC = AD xx AB xxDE .

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC. If BMbotACandCNbotAB , prove that: DeltaBMC~=DeltaCNB

In the given figure, BA_|_AC and DE_|_DF such that AB = DE and BF = EC. Show that DeltaABC~=DeltaDEF.

The vertices of a DeltaABC are A(3, 0), B (0, 6) and C (6, 9) . A straight line DE divides AB and AC in the ration 1:2 at D and E respectively, prove that (DeltaABC)/(DeltaADE) = 9

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: DeltaADB~=DeltaADC

In DeltaABC,L,M,N are points on side AB,BC,AC respectively. Perpendiculars drawn at L,M,N form DeltaPQR . Prove that DeltaABC~DeltaPRQ .

VK GLOBAL PUBLICATION-TRIANGLES-PROFICIENCY EXERCISE (SHORT ANSWER TYPE QUESTIONS-II)
  1. A street light bulb is fixed on a pole 6 m above the level of the stre...

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  2. In Fig.7.70, find angleE.

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  3. D, E and F are respectively the mid-points of sides AB. BC and CA o...

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  4. A 15 high tower casts a sshadow 24 long at a certain time at the same ...

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  5. Prove that the sum of the squares of the sides of a rhombus is equa...

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  6. In Fig. 3, ABC is a right triangle, right angled at C and D is the mi...

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  7. In Fig, ABC is an isosceles triangle in which AB= AC.Eis a point on th...

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  8. A D is an altitude of an equilateral triangle A B Cdot On A D as base,...

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  9. In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...

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  10. AB botBC and DE bot AC. Prove that DeltaABC ~ DeltaAED.

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  11. Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, ...

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  12. E is a point on side A D produced of a parallelogram A B C D and...

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  13. D and E are respectively the points on the sides AB and AC of a triang...

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  14. If ABC is an equilateral triangle with each side a cm such that ADbotB...

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  15. In A B C ,\ \ D E is parallel to base B C , with D on A B and E on...

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  16. If E is a point on side r:A of an equilateral triangle ABC such that B...

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  17. O is any point inside a rectangle ABCD. Prove that O B^2+O D^2=O A^2+...

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  18. In the given figure, (AD)/(DB)=(AE)/(EC) and angle ADE=angleACB. Prov...

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  19. In Fig. 4.72, A B C D . If O A=3x-19 ,\ \ O B=x-4 , O C=x-3 and O ...

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  20. A B C is a triangle and P Q is a straight line meeting A B in P ...

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