Question

Two sides of a triangle are 12 cm and 14cm . The perimeter of the triangle is 36 cm. What is its third side

Answer 1

Let missing side=x

12+14+x=36

26+x=36

x=36-26

x=10

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Answer 2

Given ,

Perimeter of triangle = 36 cm

The two sides of triangle Δ are 12 cm and 14 cm

We know that , the perimeter of triangle with sides A , B and C is given by

$\large \sf\fbox{ \fbox{Perimeter \: of \: Δ = A + B + C}}$

Substitute the values , we obtain

$\sf \hookrightarrow 36 = 12 + 14 + c \\ \\\sf \hookrightarrow 36 = 26 \\ \\ \sf \hookrightarrow c = 10$

Hence , the value of required side is 10 cm respectively