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5. Triangles
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Q12 of 95 Page 6

In the given figure, ΔABC ~ ΔDEF. If AB = 2DE and area of ΔABC is 56 sq. cm, find the area of ΔDEF.

Given: ΔABC ~ ΔDEF and AB =2DE

And area of ABC is 56 sq. cm


We know that, the ratio of two similar triangles is equal to the square of the ratio of their corresponding sides.



[given]




⇒ ar(∆DEF) = 14sq cm


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10

In the given figure, DE || BC. If DE = 5 cm, BC =10 cm and ar(ΔADE) = 20 cm2, find the area of ΔABC.

11

The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. If the altitude of the first triangle is 6.3 cm, find the corresponding altitude of the other.

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In the given figure, DE || BC and DE : BC = 4 : 5. Calculate the ratio of the areas of ΔADE and the trapezium ΔCEDB.

14

ABC is a triangle, and PQ is a straight line meeting AB in P and AC in Q. If AP= 1 cm, 1 BP = 3 cm, AQ = 1.5 cm, CQ = 4.5 cm. Prove that the area of Δ APQ = 1/16 (area of ΔABC).

Questions · 95
5. Triangles
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