Question

Find the area of triangle whose sides are:
12cm,9.6cm,7.2cm

Answer 1

Given:

Side(1) = 12cm

Side(2) = 9.6cm

Side(3) = 7.2cm

So, their semi-perimeter = (1)+(2)+(3)/2 = 12+9.6+7.2/2 = 28.8/2 = 14.4cm

Solution:

Area of an scalene triangle = Heron's formula

This implies, √s×(s-1)×(s-2)×(s-3)

Putting in values. We get,

√14.4×(14.4-12)×(14.4-9.6)×(14.4-7.2)

√14.4×2.4×4.8×7.2

√1194.3936

34.56 cm

Hence, area of the triangle = 34.56 cm

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