Two sides of a triangle are 13 cm and 14 cm and it's semiperimeter is 18 find the third side of the triangle?
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9 cm
Step-by-step explanation:
The length of two sides of a triangle are 13 cm and 14 cm.
Semi perimeter of the triangle is 18.
Let three sides of triangle be a cm, b cm, and c cm.
Length of two sides are given ,
So let us consider, a=13 cm and b=14 cm.
The formula of semi perimeter is = 1/2 * (sum of length of three sides of a triangle)
So, according to the given problem , to know the length of third side of the triangle, we apply the formula of semi perimeter since all other values are known.
so,
18= 1/2 * (13 + 14 + c)
18 * 2= 27 + c
36 =27 +c
c=36-27
c=9
Therefore the length of the third side of the triangle is 9 cm.
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