points (ABC is a rght angled triangle whose 1 is righeon the sides ABl and BC respectiange l plits D and E are suatsthen prove that ABeCADf a eyelic quadrilateral are paralle, then prove that othder sides aequal and its diagonals are also equal to each other.S-09- Mathematics

points (ABC is a rght angled triangle whose 1 is righeon the sides ABl

1.	points (ABC is a rght angled triangle whose 1 is righeon the sides ABl and BC respectiange l plits D and E are suatsthen prove that ABeCADf a eyelic quadrilateral are paralle, then prove that othder sides aequal and its diagonals are also equal to each other.S-09- Mathematics
Answer» Let ABCD be quadrilateral with ab\|\|cdJoin bcIn triangle abd and CBD,Angle abd=angle cdb(alternate angles) Anglecbd=angle adb(alternate angles) Bd=bd(common) Abd=~CBD by asa testAd=BC by cpctSince ad =bc ABCD is a isosceles trapeziumAngle d= angle c - - - - - - (1)Join ac. In triangle adc and bcdCd=cd(common) Angle d =angle c(from 1) Ad =bc(proved above) Triangle adc=~bcd by sas testAc=bd by cpcth. p..