Question

abcd is a trapezium in which ab parallel to dc and p and q are points on ad and bc such that PQ is parallel to DC. if PD =18 cm , BQ=35cm and QC=15 cm. Find AD.

Answer 1

Answer:

Step-by-step explanation:

since PQ || AB thus , PQ || DC ...... therefore PQ || AB|| DC........ NOW , BY applying the equal intercept theorem... we can say........ (PA/PD) = (QB/QC) ..............ON solving this we'll further get....... PA = (PD x QB) / QC................... Substituting the values we get.............. PA = ( 18 x 35) / 15 = 42....... we also derive from the figure that AD = PA + PD = 42+ 18 = 60.