Area of the given quadrilateral can be written as Area of - ABC - Area of - ACDA- TrueB- False

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Standard IX

Mathematics

Area of a Quadrilateral

Area of the g...

Question

Area of the given quadrilateral can be written as Area of ΔABC +Area of ΔACD

True

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False

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Solution

The correct option is A
True

When we connect the vertices A and C with line segment AC, then the given quadrilaterals is divided into two triangles $Δ$ ABC and $Δ$ ADC .
So, area of quadrilateral = Ar(ΔABC) + Ar(ΔACD)

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Similar questions

Area of the given quadrilateral can be written as Ar(ΔABC)+Ar(ΔACD).

Area of the given quadrilateral can be written as Ar(ΔABC) + Ar(ΔACD).

If $\leftarrow \to A D | | \leftarrow \to B C,$ then area $(Δ A B C)$ = area $(Δ B E C)$ . = area $(Δ D B C)$

In the given figure, Δ A B C is equilateral with point O as its circumcentre. Here, area of Δ B O C = \frac{1}{3} area of Δ A B C

In the given, ABCD is a quadrilateral with diagonals AC and BD intersecting at point O. Hence, area of $Δ$ AOD $\times$ area of $Δ$ BOC = area of $Δ$ AOB $\times$ area of $Δ$ COD.

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Area of the given quadrilateral can be written as Area of ΔABC +Area of ΔACD

The correct option is A True When we connect the vertices A and C with line segment AC, then the given quadrilaterals is divided into two triangles ΔABC and ΔADC . So, area of quadrilateral = Ar(ΔABC) + Ar(ΔACD)

The correct option is A
True

When we connect the vertices A and C with line segment AC, then the given quadrilaterals is divided into two triangles $Δ$ ABC and $Δ$ ADC .
So, area of quadrilateral = Ar(ΔABC) + Ar(ΔACD)