The corresponding altitudes of two similar triangles are 6 cm and 9 cm respectively. If the area of the first triangle be 72 sq cm, find the area of the other.
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Answer:
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding altitudes.
Hence the ratio of the areas=
(9)
2
(6)
2
=
81
36
=
9
4
Hence the ratio of areas =
9
4
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