Mathematics

Problem

Quadrilateral ABCD has sides

AB = 13\,\text{m}

BC = 15\,\text{m}

CD = 13\,\text{m}

DA = 15\,\text{m}

and diagonal

AC = 24\,\text{m}

. a. Part 1: (a) Show that triangle ABC and triangle ADC can each be constructed from the given measurements. b. Part 2: (b) Find the semiperimeter of triangle ABC. c. Part 3: (c) Calculate the area of triangle ABC. d. Part 4: (d) Hence, find the total area of quadrilateral ABCD.

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