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8. Similar Triangles
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Q6 of 42 Page 214

Δ ABC ∼ Δ DEF. BC = 3 cm EF = 4 cm and area of ΔABC = 54cm2. Determine the area of ΔDEF.

Given, BC = 3 cm EF = 4 cm


Also, area of Δ ABC = 54cm2


Need to find area of Δ DEF


⇒ since, Δ ABC ∼ Δ DEF


⇒


⇒


⇒


⇒ = ar(Δ DEF)


⇒ ar(Δ DEF) = 96 cm2


Hence, the area of Δ DEF is 96cm2


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In Δ ABC, XY || AC and XY divides the triangle into two parts of equal area. Find the ratio of

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Prove that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

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ABC is a triangle and PQ is a straight line meeting AB and P and AC in Q. If AP = 1 cm. and BP = 3 cm, AQ = 1.5 cm., CQ = 4.5 cm.

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The areas of two similar triangles are 81cm2 and 49cm2 respectively. If the attitude of the bigger triangle is 4.5 cm. Find the corresponding attitude of the smaller triangle.

Questions · 42
8. Similar Triangles
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