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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