The ratio of the corresponding sides of two similar triangles is 2 : 3. If the area of the smaller triangle is 100 cm², find the area of the larger triangle.
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For similar triangles, ratio of areas = ratio of square of corresponding sides
Ar. second triangle
Ar. first triangle
=
3
2
2
2
Ar.triangle
64
=
9
4
Ar. of triangle =
4
9
(64)
Ar. of triangle =9×16
Ar. of triangle =144sq.cm
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