Find the area of triangle whose sides are 42cm,34 cm and 20cm in length. Hence find the height corresponding to the longest side.

Given,


a = 42 cm


b = 34 cm


c = 20 cm


Therefore,



=


= 48


We know that,


Area =


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


Therefore,


Area of triangle =


336 =


42 × h = 336 × 2


h =


= 16 cm


Hence, corresponding height of the triangle is 16 cm


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