Question

AC is one of the diagonals of a quadrilateral ABCD. if BP is perpendicular to AC and DQ is perpendicular to AC, show that area(quad. ABCD) = 1/2 AC x (BP + DQ).

Answer 1

simple question just use the formula of area of triangle to get the answer

Answer 2

hi friend

here's your answer looking for

ar(ABCD)=ar(triangleABC) + ar(triangle ADC)

=(1/2×AC×BP) + (1/2×AC×DQ)

=1/2×AC×(BP+DQ)

hence, proved.

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From brainly star Amaytripathi19