Question

If the diagonals of rhombus are 30 cm and 16 cm, find the length of the side of the rhombus.​

Answer 1

Step-by-step explanation:

Given: Diagonals AC=30cm and DB=16cm.

Since the diagonals of the rhombus bisect at right angle to each other.

Therefore, OD = DB/2 = 16/2 = 8 cm

And OC = AC/2 = 30/2 = 15 cm

Now, In right angle triangle DOC,

(DC)² = (OD)² + (CO)²

⇒(DC)² = (8)² + (15)²

⇒(DC)² = 64 + 225 = 289

⇒DC = √289 = 17 cm

Hence, the length of side = 17 cm

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