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ABCD is a trapezium with AB||DC. …

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ABCD is a trapezium with AB||DC. A line parallel to AC intersects AB at X and BC at Y Prove that ar (ADX) = ar (ACY)

Posted by Řøýåľ Jāâţ 3 years, 10 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 3 years, 10 months ago

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)

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CBSE > Class 09 > Mathematics