Mathematics
The perimeter of a parallelogram ABCD = 40 cm, AB = 3x cm, BC = 2x cm and CD = 2(y + 1) cm. Find the values of x and y.
Related Questions
ABC is an isosceles triangle with AB = AC = 2a and BC = a. If AD ⊥ BC, find the length of AD.
In the given figure, ABCD is a trapezium with DC//AB, ∠AOB = 126° and ∠DCQ = ∠CDP = 52°.
Find the values of x and y.

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.