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5. Triangles
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Q5 of 95 Page 6

In ΔABC ~ ΔADE and DE|| BC. If DE = 3cm, BC = 6 cm and area (ΔADE) =15 sq. cm, find the area of ΔABC.

Given: ΔABC ~ ΔADE

DE = 3cm, BC = 6 cm and area (ΔADE) =15 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 (∆ABC) = 60cm2


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3

In the given figure, ΔABC and ΔDEF are similar, BC = 3cm, EF = 4 cm and area of ΔABC = 54 sq cm. Determine the area of ΔDEF.

4

If ΔABC ~ ΔDEF, AB =10 cm, area (ΔABC) = 20 sq. cm, area (ΔDEF) = 45 sq. cm. Determine DE.

6

In the figure DE || BC. If DE = 4 cm, BC = 8 cm and area (ΔADE) = 25 sq. cm, find the area of ΔABC.

7

Two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 25. find the ratio of their corresponding heights.

Questions · 95
5. Triangles
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