Question

If the perimeter of a triangle is (5x + 12) cm and its two sides are (x + 3) cm and (2x + 6) cm, find out the
third side
.

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Answer 1

Answer:

Third side of the triangle = -3 cm

Step-by-step explanation:

Given :

Perimeter of the triangle = (5x+12)cm

First side = (x+3)cm

Second side = (2x+6)cm

To find :

The third side of the triangle

Taken :

Let the third side be x

So , to find the third side of the triangle use this equation -:

$\boxed{\tt{(x+3)cm+(2x+6)cm+x=(5x+12)cm}}$

Solution :

$:\implies\sf{(x+3)cm+(2x+6)cm+x=(5x+12)cm}$

$:\implies\sf{x+2x+x+3cm+6cm=5x+12cm}$

$:\implies\sf{3x+x+9cm=5x+12cm}$

$:\implies\sf{4x+9cm=5x+12cm}$

$:\implies\sf{4x-5x=12cm-9cm}$

$:\implies\sf{-x=3cm}$

$:\implies\sf{x=-3cm}$

So , the third side of the triangle is -3cm .