Question

11.The ratio of the areas of two similar triangles ABC and PQR is 25:144.What is the ratio of their medians?​

Answer 1

Answer:

Ratio of the two similar triangles is 25:144

Step-by-step explanation:

AB²/PQ²=25/144

AB/PQ=√25/144

AB/PQ=5/12

Ratio of their medians is 5:12

Answer 2

Given : The ratio of the areas of two similar triangles ABC and PQR is 25:144.

To Find : Ratio of their medians?​

Solution:

For Similar triangle Ratio of corresponding sides is Equal and corresponding angles are equal.

ΔABC  ~ ΔPQR

Ratio of Area of similar triangle  = ( Ratio of corresponding sides)²

=> 25/144 = ( Ratio of corresponding side)²

=> (5/12)² = ( Ratio of corresponding side)²

=> Ratio of corresponding side = 5/12

In similar triangles

Ratio of corresponding Medians =Ratio of corresponding side

=> Ratio of corresponding Medians = 5/12

ratio of their medians = 5 :12

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