Q4 of 69 Page 238

Calculate the area of the triangle whose sides are 18cm, 24cm and 30 cm in length. Also, find the length of the altitude corresponding to the smallest side.

Given,


a = 18 cm


b = 24 cm


c = 30 cm


Therefore,


s =


= 36


We know that,


Area =


=


=


=


= 6 × 6 × 3 × 2


= 216 cm2


Smallest side = a = 18 cm


Let, h be the height corresponding to the smallest side of the triangle


Therefore,


Area of triangle =


216 =


18 × h = 216 × 2


h =


= 24 cm


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