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Find the area of triangle whose sides are 42cm,34 cm and 20cm in length. Hence find the height corresponding to the longest side.
a = 42 cm
b = 34 cm
c = 20 cm
We know that,
Putting the values of a, b and c in the formula, we get
= 4 × 3 × 2 × 14
= 336 cm2
Longest side of the triangle = b = 42 cm
Let h be the corresponding height to the longest side
Area of triangle =
42 × h = 336 × 2
= 16 cm
Hence, corresponding height of the triangle is 16 cm