Quadrilateral ABCD has sides , ,

MATHEMATICS · Multi-part · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

Quadrilateral ABCD has sides AB=13 mAB = 13\,\text{m}, BC=15 mBC = 15\,\text{m}, CD=13 mCD = 13\,\text{m}, DA=15 mDA = 15\,\text{m} and diagonal AC=24 mAC = 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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