Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.

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Solution

The area of a triangle having sides a, b, c and s as semi-perimeter is given by,

, where

Therefore the area of a triangle, say having sides 3 cm, 4 cm and 5 cm is given by

a = 3 cm ; b = 4 cm ; c = 5 cm

Now, area
$= \sqrt{6 (6 - 3) (6 - 4) (6 - 5)} = \sqrt{6 \times 3 \times 2 \times 1} = \sqrt{36} = 6 c m^{2}$

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