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Question
The three sides of a triangle are x+1 , 2x-1, and 2x +1 respectively and the perimeter is 26 cm. The length of the smallest side is -
5 cm
6 cm
4 cm
7 cm
ANSWER : 2
Descrption
<pre> Given , the three sides of a triangle are = x + 1 , 2x - 1 and 2x + 1 = 26 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mn>5</mn><mi>x</mi><mo> + </mo><mn>1</mn><mo> = </mo><mn>26</mn><mspace linebreak = "newline"/><mo>⇒</mo><mn>5</mn><mi>x</mi><mo> = </mo><mn>26</mn><mo> - </mo><mn>1</mn><mspace linebreak = "newline"/><mo>⇒</mo><mn>5</mn><mi>x</mi><mo> = </mo><mn>25</mn><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> = </mo><mfrac><mn>25</mn><mn>5</mn></mfrac><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mi>x</mi><mo> = </mo><mn>5</mn><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo> </mo><mi>x</mi><mo> + </mo><mn>1</mn><mo> </mo><mo> = </mo><mn>5</mn><mo> + </mo><mn>1</mn><mo> = </mo><mn>6</mn><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo> </mo><mn>2</mn><mi>x</mi><mo> - </mo><mn>1</mn><mo> = </mo><mn>2</mn><mo>×</mo><mn>5</mn><mo> - </mo><mn>1</mn><mspace linebreak = "newline"/><mo> = </mo><mn>10</mn><mo> - </mo><mn>1</mn><mspace linebreak = "newline"/><mo> = </mo><mn>9</mn><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo> </mo><mn>2</mn><mi>x</mi><mo> </mo><mo> + </mo><mn>1</mn><mo> </mo><mo> = </mo><mn>2</mn><mo>×</mo><mn>5</mn><mo> + </mo><mn>1</mn><mo> </mo><mspace linebreak = "newline"/><mo> = </mo><mn>10</mn><mo> + </mo><mn>1</mn><mspace linebreak = "newline"/><mo> = </mo><mn>11</mn><mspace linebreak = "newline"/><mi>T</mi><mi>h</mi><mi>e</mi><mo> </mo><mi>L</mi><mi>e</mi><mi>n</mi><mi>g</mi><mi>t</mi><mi>h</mi><mo> </mo><mi>o</mi><mi>f</mi><mo> </mo><mi>t</mi><mi>h</mi><mi>e</mi><mo> </mo><mspace linebreak = "newline"/><mi>s</mi><mi>m</mi><mi>a</mi><mi>l</mi><mi>l</mi><mi>e</mi><mi>s</mi><mi>t</mi><mo> </mo><mi>s</mi><mi>i</mi><mi>d</mi><mi>e</mi><mo> </mo><mi>i</mi><mi>s</mi><mo> </mo><mo> = </mo><mn>6</mn></math> </pre>
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