Question

In a parallelogram ABCD, the length of diagonals AC and BD intersect at

O such that = 4 + 4, = 8 , = 2 + 4, = 10 , the

values of and respectively are

a) 2 cm, 2 cm

b) 1 cm, 2 cm

c) 1 cm, 1 cm

d) 2 cm, 1 cm​

Answer 1

Since the diagonals of a parallelogram bisect each other. Therefore, O is the mid-point of AC and BD.

Therefore,

$oc = \frac{1}{2} AC = \frac{1}{2} \times 6.8 = 3.4 \: cm$

$and \: \: OD = \frac{1}{2} \: BD = \frac{1}{2} \times 5.6 = 2.8 \: cm$

$\\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$