Math, asked by MsBombshell, 11 months ago

♡Each of the two equal sides of a triangle is 4m less than three times the third side. Find the dimensions of the triangle of it's perimeter is 55m.
WITH EXPLANATION!!♡♡​

Answers

Answered by AJAYMAHICH
2

Step-by-step explanation:

third side = X

then

the 2 equal sides of an isoceles triangle=3X-4

THE PERIMETER OF A TRI ANGLE =SUM OF ALL OF ALL SIDES

3x-4+3x-4+x=55

7x-8=55

7x=63

x=9

and the other 2 equal sides =3×9-4

= 23

Answered by SweetestBitter
31

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\huge \mathbb\fcolorbox{black}{lavenderblush}{Answer : ♡}

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Given :

  • Two equal sides of a triangle are each 4m less than three times the third side
  • The perimeter of triangle is 55 m

Assumption :

Let ,

The third side of triangle be x

Then , The measures of two equal sides of triangle = 3x - 4

Solution :

We know that , the perimeter of triangle is given by

\large \sf \fbox{Perimeter = A + B + C}

Thus ,

55 = (3x - 4) + (3x - 4) + x

55 = 7x - 8

7x = 63

x = 63/7

x = 9

\therefore \sf \underline{The \: measures \: of \: sides \: of \: triangle \: are \: 9 \: m , \: 23 \: m \: and \: 23 \: m}

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Hope my Answer is correct and helps you !

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