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if the two sides of a triangle are 13cm and 14cm and its semi perimeter is 18cm,then find its third side

Let a, b and c be the sides of the ∆.Now, a = 13 cm; b = 14 cmNow, semi perimeter = a + b + c2⇒18 = a + b + c2⇒a + b + c = 36⇒13 + 14 + c = 36⇒27 + c = 36⇒c = 9So, length of third side = c = 9 cm

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Semi perimeter means half of the polygons perimeter.
Perimeter of a triangle is sum of all sides
so 14+13+X=18*2                        (given 18 is half perimeter)
27+X=36
X=36-27
X=9

The measures of the sides are 13cm, 14cm, and 9cm.
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 Since we know that 18 x 2 = 36 which is the perimeter.
So, 13 + 14 + X = 36
=27 + X = 36 
= X = 36 - 27.
So, X = 9
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