The area of two similar triangles are in ratio 7: 11 find the ratio of their corresponding median
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Given : area of two similar triangles are in ratio 7: 11
To Find : the ratio of their corresponding median
Solution:
For Similar triangle
Ratio of area of Triangle = ( Ratio of corresponding median)²
Hence
( Ratio of corresponding median)² = Ratio of area of Triangle
Ratio of area of Triangle is given 7 : 11
=> ( Ratio of corresponding median)² = 7 : 11
Taking square root
=> Ratio of corresponding median = √7 : √11
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