Question

abcd is a trapezium with Ab||CD .a line parallel to AC intersect AB at X and BC at Y prove that ar (∆ADX)=ar(∆ACY)​

Answer 1

Answer:

It can be observed that ΔADX and ΔACX lie on the same base AX and are between the same parallels AB and DC. ⊥ Area (ΔADX) = Area (ΔACX) ... (1) ΔACY and ΔACX lie on the same base AC and are between the same parallels AC and XY. ⊥ Area (ΔACY) = Area (ACX) ... (2) From equations (1) and (2), we obtain Area (ΔADX) = Area (ΔACY)Read more on Sarthaks.com - https://www.sarthaks.com/117871/abcd-is-trapezium-with-ab-dc-line-parallel-to-ac-intersects-at-and-bc-at-prove-that-ar-adx-acy