contestada

Given that x, y, and z are the lengths of the sides of a triangle, and given that x < y < z, which of the following statements is true? A. (z – y) > x B. (x + z) < y C. (x + y) > z D. (y – x) > z

Respuesta :

texaschic101
the sum of the lengths of any 2 sides of a triangle is greater then the length of the third side

(x + y) > z <== ur answer

Answer:

Option C

Statement [tex](x+y)>z[/tex] is true

Step-by-step explanation:

Given the lengths of sides of triangle are x, y, and z.

and also given that [tex]x<y<z[/tex]

As per the triangle inequality states that the sum of  two sides of the triangle is always greater than the measure of third side.

The only condition for this triangle inequality from the given option be  [tex](x+y)>z[/tex]

For example:

let x= 3 unit , y= 4 unit and z= 5 unit  and [tex]x<y<z[/tex] i,e [tex]3<4<5[/tex].

then,  

[tex](3+4)>5[/tex]

[tex]7>5[/tex] true.

therefore, the only statement C  is true.




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