1.

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Solution

Given :-

  • Two equal SIDE of an isosceles triangle are 6 m less than the third side .
  • perimeter of isosceles triangle = 45 m

Find :-

Explanation

We Know,

In ∆ABC isosceles triangle ,

  • It have two equal side and a different BASE .

Let,

According to question

  • Base of isosceles triangle = x m
  • Two equal side of triangle be = (x - 6 )m

Using Formula

\dag\boxed{\underline{\tt{\blue{\: Perimeter_{isosceles\: triangle}\:=\:(2a+b)}}}}

Here,

  • 2a = 2(x - 6)
  • b = x

So, KEEP all above Values

==> perimeter of isosceles triangle = 2x - 12 + x

==> 45 = 3x - 12

==> 3x = 45 + 12

==> 3x = 57

==> x = 57/3

==> x = 19

Hence

  • Base will be of isosceles triangle = 19m
  • Two equal side of isosceles triangle will be = (x - 6) = (19 - 6) = (19 - 6) = 13m

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