Question

ABCD is a parallelogram p and q are respectively the midpoints of Ab and CD PQ and diagonal AC intersect at M if a m is equals to 3 cm then the length of diagonal AC is

Answer 1

The answer is 6cm

GIVEN

ABCD is a parallelogram p and q are respectively the midpoints of AB and CD, PQ and diagonal AC intersect at M. AM = 3cm

TO FIND

The length of AC

SOLUTION

We can simplys solve the above problem as follows;

Since P is the midpoint of AB

AP = 1/2(AB)

Similarly,

CQ = 1/2(CD)

We know that, the opposite side of the parallelogram are equal in length.

That is;

AB = CD

Therefore,

AP = CQ

Oppoaitw angle of a parallelogram are equal.

Therefore,

∠ACD= ∠CAB

Therefore,

AM =CM

Diagonal AC = 3 + 3 = 6cm

Hence, The answer is 6cm

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