Question

The areas of two similar triangles are 121 cm^2 and 64^2 cm? respectively.If the median of the first
triangle is 12.1 cm,then the corresponding median of the other triangle is​

Answer 1

Answer:

13CM

Step-by-step explanation:

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Answer 2

SOLUTION :  

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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