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In this section we provide you practice on similarity(a) 47 m (b) 23.5 m (c) 23 m (d) 37 m

(a) 6√2cm (b) 6√3cm cm (c) 3√6cm cm (d) 6√6cm cm

(a) =3 (b) = 5 (c) = 4 (d) = 2.5

(a) 35 cm (b) 28 cm (c) 42 cm (d) 40 cm

ar(ΔPQR) / ar(ΔABC)

(a)2/3 (b)3/2 (c) 4/9 (d) 9/4

8. In ΔABC, DE ∥ BC, AD = 2 cm, BD = 2.5 cm, AE = 3.2 cm and DE = 4 cm. Find AC and BC.

9. In ΔABC, AD⊥ BC and AD

10. In an isosceles ∆ABC, with AB = AC, BD is perpendicular from B to the side AC. Prove that BD

11. ABCD is a trapezium in which AB || DC and AB = 2DC. Determine the ratio of the areas of ΔAOB and ΔCOD.

12. P is the mid point of BC and Q is the mid point of AP. If BQ when produced meets AC at R, prove that RA = 1/3 CA.

13. Equilateral triangles are drawn on the sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

14. ABC is a right triangle, right angled at B. AD and CE are the two medians drawn from A and C respectively. If AC = 5 cm and

AD = 3√5 /2 cm, find the length of CE.

15. From a point O in the interior of a ∆ABC, perpendiculars OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove that

(a) AF

(b) AF

• AAA Similarity

• AA Similarity

• SSS Similarity

• SAS similarity

• Practice on Similarity

Similarity of Triangles

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