Respuesta :

gmany

a, b, c - sides of a triangle

a + b > c

a + c > b

b + c > a

--------------------------

We have a = 20 and b = 2. Substitute:

20 + 2 > c

22 > c → c < 22

--------------------------

20 + c > 2      subtract 20 from both sides

c > -18

--------------------------

2 + c > 20          subtract 2 from both sides

c > 18

--------------------------

c < 22 and c > -18 and c > 18

Therefore 18 < c < 22.

Answer: The smallest possible whole number length of third side is 19.

Lanuel

The smallest possible whole-number length for the third side is 19.

  • Let the first side of the triangle be a.
  • Let the second side of the triangle be b.
  • Let the third side of the triangle be c.

Given the following data:

  • First side of triangle = 20
  • Second side of triangle = 2

To calculate the smallest possible whole-number length for the third side of the triangle:

In Mathematics, the sum of any two sides of a triangle must be greater than the third side of the triangle.

[tex]a + b > c\\\\20 + 2 > c\\\\22>c[/tex]

[tex]b + c > a\\\\2 + c > 20\\\\c>18[/tex]

[tex]a+c >b\\\\20 + c>2\\\\c > -18[/tex]

Thus, [tex]18 <c<22[/tex]

In conclusion, the smallest possible whole-number length for the third side is 19.

Read more: https://brainly.com/question/20779617

Otras preguntas