Question

the diagonals of a rhombus ABCD ntersects at O . if AC=16CM AND BD=12 CM. FIND THE LENGTH OF ITS SIDES

Answer 1

Answer:

All sides of rhombus = 10 cm

Step-by-step explanation:

As AC = 16 cm, so OA = 8 cm (because diagonals of a rhombus bisect each other)

also BD = 12 cm, so OB = 6 cm

Now in right triangle AOB

AB^2 = OA^2 + OB^2

AB^2 = 8^2 + 6^2

AB^2 = 64 + 36

AB^2 = 100

AB = root 100

AB = 10.

therfore side of rhombus = 10 cm

and all sides of rhombus are equal.

so AB = BC = CD = AD = 10 cm.

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