Corresponding sides of two similar triangles are in the ratio of 2:3. If the area of first triangle is 48 square cm, then find the area of larger triangle.
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Ratio of areas of two triangles = ( Ratio of corresponding sides of the triangles)²
Let, the area of larger triangle be 'x' cm²
48/x = (2/3)²
48/x = 4/9
by doing cross multiplication
48×9/4 = x
108 = x
Therefore, the area of the larger triangle is 108 cm².
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