Question

∆ABC~∆DEF and AB:DE = 5:3. Find DF if AC = 12cm. ​

Answer 1

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MATHS

Triangles ABC and DEF are similar.

(i) If area (△ ABC)= 16 cm2, area(△ DEF)= 25 cm2 and BC = 2.34 cm, find EF.

(ii) If area (△ ABC)= 9 cm2, area(△ DEF) = 64 cm2 and DE= 5.1 cm, find AB.

(iii) If AC = 19 cm and DF=8 cm, ratio of the area of two triangles.

(iv) If area (△ ABC)= 36 cm2, area (△ DEF) =64 cm2 and DE= 6.2 cm, find AB.

(v) If AB= 1.2 cm and DE=1.4 find the ratio of the areas of triangle ABC and DEF.

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ANSWER

(i)  We know that the ratio of area of two similar triangles is equal to the ratio of squares of their corresponding sides.

∴  area(△DEF)area(△ABC)=(EFBC)2

⇒ 2516=(EF2.3)2

⇒  54=EF2