the area of two similar trianglevare 121cm square and 64cm square respectively.what is the ratio of their corresponding sides?
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Given : Area of two similar triangles is 121cm² and 64 cm² .
Since, the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding medians.
ar(∆1)/ar(∆2) = (median1/median2)²
121 / 64 = (12.1/median2)²
On taking square root on both sides,
√121 / 64 = √(12.1/median2)²
11/8 = 12.1 /median2
11× Median2 = 12.1 × 8
Median 2 = (12.1× 8)/11
Median2 = 1.1 × 8
Median2 = 8.8 cm
Hence, the corresponding median of the other is 8.8 cm.
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