What is the area of this triangle? [2 MARKS]

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Solution

Concept : 0.5 Mark
Application : 0.5 Mark
Calculation : 1 Mark

s = $\frac{P e r i m e t e r}{2} = \frac{a + b + c}{2} = \frac{48 + 36 + 30}{2} = 57 c m$

Area of the triangle = $\sqrt{s (s - a) (s - b) (s - c)} = \sqrt{57 (57 - 48) (57 - 36) (57 - 30)} = \sqrt{290871} = 539.32 c m^{2}$

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