Mathematics

Problem

Diagonal

AC

divides quadrilateral

ABCD

into two triangles

\triangle ABC

and

\triangle ACD

. The side lengths are:

AB = 15\,\text{cm}

BC = 17\,\text{cm}

AC = 26\,\text{cm}

AD = 13\,\text{cm}

and

CD = 20\,\text{cm}

. a. (i) Find the area of

\triangle ABC

. b. (ii) Find the area of

\triangle ACD

. c. (iii) Hence calculate the area of quadrilateral

ABCD