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Let the sides of the triangle be 13a,14a,15a.
Perimeter of the triangle = Sum of all sides =13a+14a+15a=42a
Given, perimeter of the triangle =84cm
∴42a=84cm
a=2cm
So, the sides of the triangle are 13a=26cm,14a=28cm,15a=30cm.
Area of triangle with sides a, b, and c and s=2a+b+c is s(s−a)(s−b)(s−c).
For triangle with sides 26 cm, 28 cm and 30 cm, s=226+28+30=42cm
Area of the triangle with 26 cm, 28 cm and 30 cm =42(42−26)(42−28)(42−30)
=42×16×14×12
=6×7×4×4×7×2×6×2
=6×7×4×2=336cm2
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