'C' is the midpoint of the line segment AE. Points B and D are on the line segment AE so that AB=BC and CD=DE, what percentage of AC is AD?

'C' is the midpoint of the line segment AE. Points B and D are on the line segment AE so that AB=BC and CD=DE, what percentage of AC is AD? Correct Answer 150

Here, B is the midpoint of AC and D is the midpoint of CD. So, AB = BC = CD = DE Now,  AC = AB + BC = 2AB And,   AD = AB + BC + CD = 3AB = 3/2 x 2AB = 3/2 AC So, AD = 3/2 x 100% of AC = 150% of AC.

Related Questions

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order. Consider the following statements: The line segment joining R and S is longer than the line segment joining P and Q. The line segment joining R and S is perpendicular to the line segment joining P and Q. The line segment joining R and U is parallel to the line segment joining T and Q. Based on the above statements, which one of the following options is CORRECT?