Question : The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find the area.
Option 1: 64 cm2
Option 2: 112 cm2
Option 3: 96 cm2
Option 4: 81 cm2
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Correct Answer: 96 cm 2
Solution :
The given triangle with sides 16 cm, 12 cm, and 20 cm is a right-angled triangle. (since $20^2 = 16^2 + 12^2$)
The area of a right-angled triangle,
$\text{Area} =\frac{1}{2} \times \text{base} \times \text{height}$
⇒ $\text{Area} = \frac{1}{2} \times 16 \times 12 = \operatorname{ 96 cm^2 }$
Hence, the correct answer is 96 cm
2
.
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