Hey ! there
Answer:
Step-by-step explanation:
In this question we are given that perimeter of a triangle is 84 m , longest side of triangle is 7 meters less than twice the length of shortest side that is x and middle side is 7 meters longer than the shortest side .
And we're asked to find the length of each side of triangle.
So ,
We know that ,
[tex]\underline{\boxed{\frak{Perimeter_{(Triangle)} = Sum \:of\: three\: sides}}}[/tex]
Solution : -
[tex] \longmapsto \qquad x +( x + 7) + (2x - 7) = 84[/tex]
Step 1 : Removing parenthesis and cancelling 7 with -7 :
[tex] \longmapsto \qquad x + x + \cancel{7} + 2x - \cancel{ 7 }= 84[/tex]
Step 2 : Adding like terms on left side :
[tex] \longmapsto \qquad 4x = 84[/tex]
Step 3 : Dividing with 4 on both sides :
[tex] \longmapsto \qquad \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{\dfrac{ 84}{4} }[/tex]
On calculating further, We get :
[tex] \longmapsto \qquad \red{\underline{\boxed{\frak{ x = 21 \: m}}}}\quad \bigstar[/tex]
According to question ,
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Verifying : -
Now we are checking our answer by adding all the sides and equating it with given perimeter that is 84 metres .
Therefore , our answer is correct.
