Question

6. Two sides of a triangle are 13 cm and 14 cm and its semi perimeter is
18 cm Find the third side of the triangle.
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Answer 1

$\huge\mathcal\red{required\:Answer}$

★ Let a = 13 cm, b = 14cm, and third side = c cm,

Semiperimeter is half of perimeter and is given by,

➣ $s \: = \frac{a + b + c}{2}$

➫ $18 = \frac{13 + 14 + c}{2}$

➨$c \: = 36 - 27$

➟$= c \: = 9 \: cm$

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Answer 2

Given:-

❍ Two sides of triangle = 13 cm & 14 cm

❍ Semi perimeter = 18 cm

To find:-

❍ Third side of the triangle

Required Solution:-

$\longrightarrow$ Semi perimeter is 18 cm.

$\longrightarrow$ Total Perimeter = $\sf{18\:×\:2\;=\;36}$

Let the third side be x.

Sum of 2 sides of the triangle =

$\longrightarrow$(13 + 4)cm = 27 cm

$\longrightarrow$ 27 + x = 36

$\longrightarrow$ x = 36 - 27 = 9

Therefore,

❍ The third side of the triangle is 9 cm.