Question

Two sides of triangle are 13 cm and 14 cm and its semi perimeter is 18 cm find the third side of triangle

Answer 1

$a = 13 \: cm \\ b = 14 \: cm \\ s = \frac{a + b + c}{2} \\ also \: s \: is \: given \: as \: 18 \: cm \\ so \: \frac{13 \: cm + 14 \: cm + c}{2} = 18 \: cm \\ 27 \: cm + c = 36 \: cm \\ c = 9 \: cm$
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Answer 2

Answer:

The length of third side of triangle is 9 cm

Step-by-step explanation:

Given that the two sides of triangle are 13 cm and 14 cm and its semi perimeter is 18 cm.

we have to find the third side of triangle

Let a, b and c are the three sides of triangle

a=13 cm , b=14 cm

As the semi-perimeter is the half of the sum of sides of triangle i.e

$s=\frac{a+b+c}{2}$

$18=\frac{13+14+c}{2}$

$36=27+c$

$c=36-27=9$

The length of third side of triangle is 9 cm