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In DeltaABC, BM | AC and CN | AB, show t...

In `DeltaABC, BM _|_ AC and CN _|_ AB`, show that :
`(AB)/(AC) = (BM)/(CN) = (AM)/(AN)`

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In a square ABCD, show that AC^(2) = 2AB^(2) .

In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB gt AD .

In triangle ABC, AB gt AC and D is a point in side BC. Show that : AB gt AD .

In Delta ABC, AB = AC and D is a point an side AC such that AD = BD = BC . Show that : angle ADB = 108 ^(@)

In DeltaABC, AB = AC and D is a point in BC so that BD=CD . Prove that AD bisects angleBAC .

In the adjoining figure, DeltaABC is an isosceles triangle in which AB=AC. If BMbotAC and CNbotAB , prove that : (i) DeltaBMC~=DeltaCNB (ii) BM=CN

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ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(A)
  1. In DeltaABC, angle ABC is equal to twice the angle ACB, and bisector o...

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  2. In DeltaABC, angle ABC is equal to twice the angle ACB, and bisector o...

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  3. In DeltaABC, BM | AC and CN | AB, show that : (AB)/(AC) = (BM)/(CN) ...

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  4. In the given figure, DE////BC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN...

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  5. In the given figure, DE////BC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN...

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  6. In the given figure, AD = AE and AD^2 = BD xx EC. Prove that : trian...

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  7. In the given figure, AB////DC, BO = 6 cm and DQ = 8 cm, find: BP xx D...

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  8. Angle BAC of triangle ABC is obtuse and AB = AC. P is a point in BC su...

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  9. State, true or false : Two similar polygons are necessarily congruen...

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  10. State, true or false : Two congruent polygons are necessarily simila...

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  11. State, true or false : All equiangular triangles are similar.

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  12. State, true or false : All isosceles triangles are similar.

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  13. State, true or false : Two isosceles-right triangles are similar.

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  14. State, true or false : Two isosceles triangles are similar, if an an...

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  15. State, true or false : The diagonals of a trapezium divide each othe...

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  16. Given : /GHE = /DFE = 90^@, DH = 8, DF = 12, DG = 3x - 1 and DE = ...

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  17. D is a point on the side BC of a triangle ABC such that /A D C=/B A C....

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  18. In the given figure, DeltaABC and DeltaAMP are right angled at B and ...

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  19. In the given figure, DeltaABC and DeltaAMP are right angled at B and ...

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  20. Given : RS and PT are altitudes of DeltaPQR. Prove that: Delta PQT ~...

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