Mathematics
In trapezium ABCD, AB || DC and DC = 2AB. EF drawn parallel to AB cuts AD in F and BC in E such that 4 BE = 3EC. Diagonal DB intersects FE at point G. Prove that : 7EF = 10AB.
Related Questions
The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point O. If BO : OD = 4 : 7, find :
(i) △AOD : △AOB
(ii) △AOB : △ACB
(iii) △DOC : △AOB
(iv) △ABD : △BOC
A model of a ship is made to a scale of 1 : 160. Find :
(i) the length of the ship, if the length of its model is 1.2 m
(ii) the area of the deck of the ship , if the area of deck of its model is 1.2 m2.
(iii) the volume of the ship, if the volume of its model is 1.2 m3.
Given : ABCD is a rhombus, DPR and CBR are straight lines.
Prove that :
DP × CR = DC × PR.
