Question

area of two similar triangles are 25 is 9 then the corresponding sides are is the ratio​

Answer 1

Answer:

Ratio of their corresponding sides=5:3

Step-by-step explanation:

Ratio of Area of two similar ∆ = 25:9

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Ratio of their corresponding sides = ??

Area of 1st ∆ / Area of 2nd ∆ = square of (1st corresponding side / 2nd corresponding side)

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25/9 = square of (1st side/2nd side)

Ratio of their corresponding sides =5:3

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Answer 2

Ratio of Area of two similar triangle = 25:9

We have to prove that : Ratio of corresponding side = 5:3

Important : ()2 mean square

1 step :-

Area of first triangle = ( 1st side)2

Area of second triangle (2nd side)2

2 step :-

25 ( 1 side )2

9 = ( 2 side )2

3 step :-

When square change side 25 and 9 goes under root( it means square from 1 and 2 corresponding side goes to 25 and 9 so, it beacame under root)

√25 1 corresponding side

√9 = 2 corresponding side

4 step :-

when under root remove 25 became 5 because 5× 5 = 25 and 9 became 3 because 3×3 = 9

5 1 corresponding side

3 = 2 corresponding side

Therefore, Ratio of corresponding side is 5 : 3

Hence Proved