Question

Xy divides the triangle abc into two regions such that regions

Answer 1

Answer:

the answer is AC and XY divides the ABC into two regions such that ar( BXY) = 2ar (ACYX).

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Answer 2

Answer:

Step-by-step explanation:

Given: ABC is a triangle with XY | | AC divides the triangle into two parts equal in areas.

To find AX/AB.

Proof:

ar △BXY = ar trap. XYCA(Given) ∴ ar △BXY = 1/2ar△ABC

In △BXY and BAC,

∠BXY = ∠BAC (Corresponding angles)

∠BYX = ∠BCA (Corresponding angles)

△BXY ~ △BAC (AA similarity)

∴ Area △BXY/Area △BAC = BX2/ AB2 (Areas of similar triangle)

∴ 1/2 = BX2/ AB2

∴ 1/√2 = BX/AB

∴ AB - BX = √2 BX - BX

∴ AX = (√2 - 1)BX

AX/AB = (√2-1)BX/√28x = √2-1/√2

Hope it helps you....