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The sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 84 cm. What is its area?

Competition practiceGeometry

A $294 cm^{2}$
B $588 cm^{2}$
C $336 cm^{2}$
D $252 cm^{2}$

Step-by-Step Solution

The sides are 21, 28 and 35 cm. Since

2 1^{2} + 2 8^{2} = 3 5^{2}

, it is right-angled, so the area is

\frac{1}{2} \times 21 \times 28 = 294 cm^{2}

.

Answer: A)

294 cm^{2}

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