Respuesta :

Yes; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The side lengths  8, 15, and 20 form the sides of a .triangle

In order to determine whether the length of the sides forms a triangle, we will use the theorem that states that:

  • The sum of any two sides of the triangle must be greater than the third

Given the side lengths 8, 15 and 20

Taking the sum of any two sides;

8 + 15 = 23

Since 23 > 20 (third side), this shows that the theorem is true

Similarly;

  • 8 + 20 = 28
  • Since 28 > 15 (third side), this shows that the theorem is true

Also;

  • 15 + 20 = 35
  • Since 35 > 8 (third side), this shows that the theorem is true

Since all the conditions are met, hence the side lengths form a triangle.

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