ABCD is a rectangle. BC : AC = 1 : root 2. AC is the diagonal and AE is the bisector of angle CAD, then the ratio of lengths of DE and AE is? Share with your friends Share 0 Neha Sethi answered this Dear student Given: ABCD is a rectangleand BCAC=12⇒∠ADE=90° All the angles of a rectangle are 90°Also,Opposite sides are equal in a rectangle⇒BC=AD=1 unit,Now consider △ADEsin90°=ADAE⇒1=ADAE⇒AE=11=1 unitAgain in △ADE,by pythagoras theoremAE2=AD2+DE2⇒12=12+DE2⇒DE=0 which is not possible.So kindly recheck your question and provide the figure. Regards 0 View Full Answer Rujul Srivastava answered this Experts, help please! 1 Rujul Srivastava answered this Given, BC:AC = 1:root2 BC(root2) = AC Consider triangle ABC, right angled at B. Then, AB2 + BC2 = AC2 AB2 + BC2 = [BC(root2)]2 AB2 + BC2 = 2BC2 AB2 = BC2 AB=BC => Since BC = AD and AB = DC (rectangle's sides) => AB = BC = CD = DA Let them be x cm. Sorry, I can't figure out the rest. Experts, please help! 0
