Question

Each of the two equal sides of a triangle sides are 4 metre less than 3 times the third side find the dimensions of it it is is triangle if it is perimeter is 55 CM

Answer 1

Step-by-step explanation:

$\implies$ $\sf{Let\:the\:3rd\:side\:be\: x }$

$\implies$ $\sf{equal\:sides=3x-4 }$

Perimeter of triangle :

$\implies$ $\sf{P=a+a+a }$

$\implies$ $\sf{55=x+3x-4+3x-4 }$

$\implies$ $\sf{55=7x-8}$

$\implies$ $\sf{7x=63 }$

$\implies$ $\sf{x={\Large\frac{\cancel{63}\:9}{\cancel7}} }$

$\implies$ $\sf{x=9 }$

Dimensions of the triangle are :

$\implies$ $\sf{x=9cm }$

$\implies$ $\sf{3x-4=3(9)-4=23cm }$

$\implies$ $\sf{3x-4=3(9)-4=23cm }$

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