Question

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Answer 1

Answer:

3cm, 6cm

Step-by-step explanation:

Let initial smaller side be x and bigger side be y

X²+y²= (3 root 5 cm )²(Pythagoras theorem)

X²+y²= 45 - - - - 1)

Now it's said smaller side is tripled and larger is doubled

So,

(3x)²+(2y)²=15²

9x²+4y²=225 - - - (2)

Multiplying (1) by 4

4x²+4y²=180

(2)-(1)

5x²=45

X²=9

X= ±3

It will be +3 here as it is side of triangle

3²+y²=45

9+y²=45

Y²=36

Y=6

The sides are 3 cm and 6 cm