In a trapezium, the lengths of two parallel sides are in the ratio 2:3 and its height is 16 cm. If the area of the trapezium is 440 sq cm, then find the length of the line segment joining the midpoints of the two non-parallel sides.
27.5 cm
Let parallel sides be 2k and 3k. Area = (1/2)(2k+3k)(16) = 440, so 40k = 440, k=11, giving sides 22 and 33. The midsegment (joining midpoints of non-parallel sides) = (22+33)/2 = 27.5 cm.
Important Questions from Quadrilaterals
What is the value of AC 2– BD 2
What is the point of intersection of the diagonals?
What is the area of the parallelogram?
ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If ∠BEC = 138° and ∠ECD = 35°, then what is the measure of ∠BAC?
A circle is inscribed in a quadrilateral ABCD, touching sides AB, BC CD and DA at P, Q, R and S, respectively. If AS = 6 cm, BC = 12 cm, and CR = 5 cm, then the length of AB (in cm) is:
