1.

In a triangle , the length of the first side is 5 cm less than the length of the second side . The length of the third side is 7 cm more than the length of the first side if the first side is of length is 18 cm , then what is the semiperimeter of the triangle₦Ø₸E:•Don't spam ❌• Quality answer needed✔​

Answer»

Given :

  • The length of the first side is 5 cm less than the length of the SECOND side .
  • The length of the third side is 7 cm more than the length of the first side .
  • Length of first side is 18 cm .

To Find :

  • Semi Perimeter of Triangle .

Solution :

\longmapsto\tt{Let\:second\:side\:be=x}

Length of the first side is 5 cm less than the length of the second side . So ,

\longmapsto\tt{First\:side=x-5}

Also ,

The length of the third side is 7 cm more than the length of the first side . So ,

\longmapsto\tt{Length\:of\:third\:side=x-5+7}

Length of first side is 18 cm :

\longmapsto\tt{x-5=18}

\longmapsto\tt{x=18+5}

\longmapsto\tt\bf{x=23}

Therefore :

\longmapsto\tt{Length\:of\:first\:side=18\:cm}

\longmapsto\tt{Length\:of\:second\:side=x}

\longmapsto\tt\bf{23\:cm}

\longmapsto\tt{Length\:of\:third\:side=23-5+7}

\longmapsto\tt\bf{25\:cm}

For Semi Perimeter :

  • a = 18 cm
  • b = 23 cm
  • c = 25 cm

Using Formula :

\longmapsto\tt\boxed{Semi\:Perimeter=\dfrac{a+b+c}{2}}

Putting Values :

\longmapsto\tt{\dfrac{18+23+25}{2}}

\longmapsto\tt{\cancel\dfrac{66}{2}}

\longmapsto\tt\bf{<klux>33</klux>\:cm}

So , The Semi Perimeter of Triangle is 33 cm .



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