Question

To verify the relation between the areas of two similar traingles with the square of corresponding perimeters and the square of the corresponding medians of the two traingles

Answer 1

Step-by-step explanation:

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Answer 2

Answer⤵

If ΔABC~ΔDEF

▶ (1) As ΔABC~ΔDEF.

Hence,

∠B=∠E (∵ΔABC~ΔDEF)

⇒ Squaring, we get.

→ (2) Comparing (1) and (2), we get.

Hence, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

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