Answer:

Hello!!

Here is the answer.

Given that adjacent sides are in ratio 5:12 and perimeter is 34 cm.

Let the common ratio be k. So, sides will be 5k and 12k.

Now,

P = 2(sum of adjacent sides) 34 = 2 (12k + 5k)

34 = 2 (17k) 34 = 34k

k = 1.

So, sides are

12k 12x1= 12 cm and 5k = 5 cm.

Now, using Pythagoras theorem. Diagonal² = base² + altitude² D² = 12² + 5²

D² =144 + 25 D=√169 = 13 cm.

Hence, the diagonal is 13 cm in length.

Hope It Helps

Answer:

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