Which set of side lengths can form a triangle? A 2 cm, 2 cm, 6 cm B 3 cm, 6 cm, 9 cm С 4 cm, 8 cm, 5 cm D 8 8 cm, 3 cm, 4 cm
Mathematics · High School · Tue Nov 03 2020
Answered on
In order to form a triangle, we know that the sum of the 2 lengths should be longer than the other length.
If we have 3 lengths, 2cm, 2cm and 6cm, that is not a triangle because 6cm > 2+2 so 6>4cm.
If we have 3cm, 6cm , 9 cm, this cant be a triangle as well because 9 is equal to 3+6 so 9=9.
If we have 4cm, 8cm and 5cm, this would be a triangle because:
8 <4+5
4<8+5
5<8+4
So the side lengths, 4cm, 8cm, 5cm can form a triangle.