Question

- Adjacent pides of ulctangle one in the
Mato 53 12,7 peetimeter of rectangle is
34cm. Find the
length of diagonal​

Answer 1

Answer:

13 cm

Step-by-step explanation:

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 = 12×1 = 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