Problem Statement

Trapezium Diagonals: Ratio of Triangle Areas PwC on-campus online assessment (HirePro platform) -- GROUP: Quantitative SECTION: Quant Math Ability. Answer the following question. Question 1 In the figure given below, AD is perpendicular to AB and BC is perpendicular to AB. The diagonals AC and BD of quadrilateral ABCD meet at E. Find the ratio of area of triangle AEB to the area of triangle CED. (In the figure, ABCD is drawn with A at the bottom left, B at the bottom right, C at the top right and D at the top left. AD and BC are the two sides marked with right angles at A and B respectively; AD is labelled a and BC is labelled 2a. The diagonals AC and BD cross at E, dividing the quadrilateral into four regions labelled A1 (triangle AEB), A2 (triangle AED), A3 (triangle BEC) and A4 (triangle DEC).) A. 3:5 B. 9:2 C. None of these D. 5:3