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5. Triangles
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Q1 of 95 Page 6

In two similar triangles ABC and DEF, AC = 3 cm and DF = 5 cm. Find the ratio of the areas of the two triangles.

Given: ΔABC ~ ΔDEF and AC = 3 cm and DF = 5 cm

To find: Areas of the two triangles



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





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23

In the given figure, ∠ABC = 90° and BD ⊥ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.

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In the given figure, ∠CAB =90° and AD ⊥ BC. Show that ΔBDA ~ ΔBAC. If AC = 75 cm, AB = 1 cm and BC = 1.25 cm, find AD.

2

The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. Find the ratio of their areas.

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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.

Questions · 95
5. Triangles
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