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
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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