Mathematics
Construct a parallelogram in which diagonals are 6.5 cm and 4 cm long and angle between them is 60°.
Rectilinear Figures
1 Like
Answer
Let parallelogram ABCD has diagonal AC = 6.5 cm, diagonal BD = 4 cm and the acute angle between the diagonals = 60°.
Steps of construction:
Draw AC = 6.5 cm and locate its mid point O.
Draw line BOD such that ∠DOC = 60° and
OB = OD = BD = 4 = 2 cm.
- Join AB, BC, CD and DA.

Hence, ABCD is the required parallelogram.
Answered By
1 Like
Related Questions
ABCDE is a pentagon in which AB = AE, BC = ED and ∠ABC = ∠AED.
(a) Prove that :
(i) AC = AD
(ii) ∠BCD = ∠EDC
(b) If BC and ED are produced to meet at X, prove that BX = EX.
In the parallelogram ABCD, M is mid-point of AC and X, Y are points on AB and DC respectively such that AX = CY.

Prove that :
(i) triangle AXM is congruent to triangle CYM.
(ii) XMY is a straight line.
Construct a square ABCD in which each side = 5 cm.
Construct a square ABCD in which diagonal AC = 9 cm.