Question : The sides of a triangle are 20 cm, 48 cm, and 52 cm. What is the area of the triangle?
Option 1: 320 cm2
Option 2: 480 cm2
Option 3: 560 cm2
Option 4: 245 cm2
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Correct Answer: 480 cm 2
Solution : The sides of a triangle are 20 cm, 48 cm, and 52 cm. All three sides are different. So, it is a Scalene triangle. Area of a scalene triangle = $\sqrt{s(s-a)(s-b)(s-c)}$, where $s = \frac{a+b+c}{2}$ $s=\frac{20+48+52}{2}=\frac{120}{2}=60$ ⇒ Area of the triangle = $\sqrt{60(60-20)(60-48)(60-52})=\sqrt{60×40×12×8}=480\ \text{cm}^2$ Hence, the correct answer is 480 cm 2 .
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