Which of the following correctly represents the area of a convex quadrilateral in…

MATHEMATICS · Single correct · CBSE · Mathematics · Area · Area

Problem

Which of the following correctly represents the area

A

of a convex quadrilateral

ABCD

in terms of the areas of the two triangles formed by its diagonal

AC

? (a)

A = \dfrac{A_{\triangle ABC} + A_{\triangle ADC}}{2}

(b)

A = A_{\triangle ABC} + A_{\triangle ADC}

(c)

A = A_{\triangle ABC} \times A_{\triangle ADC}

(d)

A = \sqrt{A_{\triangle ABC}^2 + A_{\triangle ADC}^2}