Question

1 If the diagonals of a rhombus are 16 cm and 30 cm, then find:
(a) area of rhombus
(b) length of the side
(c) perimeter
The area of the rhombus 120 m' and one of the diagonal is 24 m, find the diagonal and length of the side.​

Answer 1

Answer-

Given: Diagonals AC=30cm and DB=16cm.Since the diagonals of the rhombus bisect at right angle to each other.Therefore, OD=2DB=216=8cmand OC=2AC=230=15cmNow, In right angle triangle DOC,(DC)2=(OD)2+(CO)2⇒(DC)2=(8)2+(15)2⇒(DC)2=64+225=289⇒DC=289=17cmPerimeter of the rhombus=4× side

+225=289⇒DC=289=17cm

Perimeter of the rhombus=4× side=4×17=68cm.

Thus, the perimeter of rhombus is 68 cm.

Step-by-step explanation:

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