Question

ABCD is a parallelogram. P and Q are respectively the mid points of AB and CD . PQ and diagonal AC intersect at M. If AM = 3cm, then the length of diagonal AC

Answer 1

Given :-

• ABCD is a parallelogram. P and Q are respectively the mid points of AB and CD . PQ and diagonal AC intersect at M. If AM

• AM = 3cm

To Find:-

• length of diagonal AC

Solution :-

ABCD is a parallelogram

=> AB = CD and AB ll CD

P & Q are mid point of AB & CD

=> AP = AB/2 & CQ = CD/2

Hence AP = CQ

AB ll CD

=> /_ ACD = /_ CAB

AM = CM

AC = AM + CM = 3 + 3 = 6

• length of diagonal AC : 6 Cm

Answer 2

Given :-

• ABCD is a parallelogram. P and Q are respectively the mid points of AB and CD . PQ and diagonal AC intersect at M. If AM
• AM = 3cm

To Find:-

length of diagonal AC

Solution:-

ABCD is a parallelogram

=> AB = CD and AB ll CD

P & Q are mid point of AB & CD

=> AP = AB/2 & CQ = CD/2

Hence AP = CQ

AB ll CD

=> /_ ACD = /_ CAB

AM = CM

AC = AM + CM = 3 + 3 = 6

• length of diagonal AC : 6 Cm