maths
posted by Anonymous on .
points A,B,C and D lie on a straight line in the given order. AC=25cm and BD=46cm. the ratio of length CD to length AB is 5/2. find the length of line segment BC in cm.

make a sketch on a number line of the given.
let BC = x
then AB = 25x and CD = 46 x
CD/AB = 5/2
(46x)/(25x) = 5/2
92  2x = 1255x
3x = 33
x = 11
So BC = 11 cm
check:
then AB = 2511= 14 and CD = 4611 = 35
ration of CD/AB = 35/14 = 5/2