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Re: Is the perimeter of a triangle greater than 30?
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06 Jul 2017, 10:17

1

Statement 1: let x= shortest side. x>10 let's say 10.1 Let y and z be the other two side. Thus y>10.1 say 10.2 & z>10.1 say 10.3,(because each of the sides must be greater than the shortest side.)

Perimeter, P =x +y +z.

P =10.1 + 10.2 + 10.3 =30.6. Thus P>30

This will be the case in each situation. SUFFICIENT

Statement 2: let x= longest side. x>15. Let y and z be the other two side. Thus y + z >15(because sum of any two sides of a triangle is greater than the third side.)

Perimeter, P =x +y +z. Thus P >30.

This will be the case in each situation. SUFFICIENT