ABCD is a rectangle. If the diagonals AC and BD intersect at O and OC = 3 cm, find BD.

3 cm

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4 cm

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5 cm

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6 cm

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Solution

The correct option is D 6 cm

Given, ABCD is a rectangle and OC = 3cm.
The diagonals of a rectangle bisect each other.

So, if AC is a diagonal, intersecting BD at O, AO = OC = 3 cm.
AC = AO + OC = 3 cm + 3 cm = 6 cm.

In a rectangle, diagonals are equal.
So, AC = BD.
Since, AC = 6 cm
$∴$ BD = 6 cm.

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Question 36

In a right angled $Δ A B C$ , if $∠ B = 90^{\circ}$ , BC = 3 cm and AC = 5 cm, then the length of side AB is

a) 3 cm
b) 4 cm
c) 5 cm
d) 6 cm

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