Question

Two sides of a triangle are $16cm$ and $14cm$ and its semi-perimeter is $18cm$. Then the third side of the triangle is:

• A. $12cm$
• B. $11cm$
• C. $10cm$
• D. $6cm$

Answer 1

The correct option is D $6cm$

Semiperimeter, $S=18cm$

Let the side of the triangle be $a,b,c$ such that

$a=16cm,b=14cm$

$S=\frac{a+b+c}{2}=\frac{16+14+c}{2}18=\frac{30+c}{2}c=36-30=6cm$

Therefore, third side of triangle is $6cm$