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6. Triangles
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Q13 of 32 Page 6

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.(CBSE 2001)


Let the two triangles ABC and DEF have their altitudes as AS and DT.


We know that if two triangles are similar then the ratio of their areas is equal to the ratio of the squares of their corresponding altitudes.




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11

Prove that, if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio. (CBSE 2002, 2004, 2006, 2007, 2009, 2010)

12

ΔABC is right-angled at A and AD ⊥ BC. If BC = 13 cm and AC = 5 cm, find the ratio of the areas of ΔABC and ΔADC.

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14

The areas of two similar triangles are 121 cm2 and 64 cm2 respectively. If the median of the first triangle is 12.1 cm, find the corresponding median of the other.(CBSE 2001)

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ΔABC ~ΔDEF and their areas are respectively 100 cm2 and 49 cm2. If the altitude of ΔABC is 5 cm, find the corresponding altitude of ΔDEF.(CBSE 2002)

Questions · 32
6. Triangles
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