Hey ! there
Answer:
- Smallest side = <u>2</u><u>1</u><u> </u><u>m</u>
- Middle side = <u>2</u><u>8</u><u> </u><u>m</u>
- Longest side = <u>35</u><u> </u><u>m</u>
Step-by-step explanation:
In this question we are given that <u>perimeter</u> <u>of a triangle is </u><u>8</u><u>4</u><u> </u>m , <u>longest</u><u> </u><u>side </u><u>of </u><u>triangle </u><u>is </u><u>7</u><u> </u><u>meters</u><u> </u><u>less </u><u>than </u><u>twice </u><u>the </u><u>length </u><u>of </u><u>shortest </u><u>side </u><u>that </u><u>is </u><u>x </u><u>and </u><u>middle </u><u>side </u><u>is </u><u>7</u><u> </u><u>meters</u><u> </u><u>longer </u><u>than</u><u> </u><u>the </u><u>shorte</u><u>st </u><u>side </u><u>.</u>
And we're asked to find the <u>length</u><u> of</u><u> </u><u>each </u><u>side </u><u>o</u><u>f </u><u>triangle</u><u>. </u>
<u>So </u><u>,</u>
- Shortest side = <u>x m </u>
- Middle side = <u>( x + 7 ) </u>m ( Because in question it is given that middle side is 7 metres longer than the shorter side )
- Longest side =<u> ( 2x -7 ) m</u> ( Because in question it is given that longest side is 7 m less than twice the length of shortest side )
<u>We </u><u>know</u><u> that</u><u> </u><u>,</u>
<u></u>
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
<u>Step </u><u>1</u><u> </u><u>:</u> Removing parenthesis and cancelling 7 with -7 :
<u>Step </u><u>2</u><u> </u><u>:</u> Adding like terms on left side :
<u>Step </u><u>3 </u><u>:</u> Dividing with 4 on both sides :
On calculating further, We get :
<u>According</u><u> to</u><u> question</u><u> </u><u>,</u>
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>smallest</u><u> </u><u>side </u><u>of </u><u>triangle </u><u>is </u><u>2</u><u>1</u><u> </u><u>meters </u><u>.</u>
<u>▬▬▬▬▬▬▬▬▬▬▬▬▬▬</u>
- x + 7 = middle side
- 21 + 7 = 28
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>middle</u><u> side</u><u> of</u><u> triangle</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>meters </u><u>.</u>
<u>▬▬▬▬▬▬▬▬▬▬▬▬▬▬</u>
- 2x - 7 = longest side
- 2(21) - 7
- 42 - 7
- 35
- <u>Henceforth</u><u> </u><u>,</u><u> </u><u>longest </u><u>side </u><u>of </u><u>triangle</u><u> </u><u>is </u><u>35</u><u> </u><u>met</u><u>e</u><u>r</u><u>s </u><u>.</u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
Now we are checking our answer by adding all the sides and equating it with given perimeter that is 84 metres .
<u>Therefore</u><u> </u><u>,</u><u> </u><u>our </u><u>answer</u><u> is</u><u> correct</u><u>. </u>
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<u>#KeepLearning</u></h2>