Question

4 cm, 5 cm, 20 cm
can the side lengths
form a triangle ?
​

Answer 1

Answer: No, a triangle is not possible

The two smaller sides add to 4+5 = 9 which is not larger than 20. For a triangle to be possible, we need to be able to add 2 sides to make them longer than the third side. This is an application of the triangle inequality theorem.

Answer 2

Answer: No

Explanation:

Because 4^2=16

5^2=25

25+16=41

41 squared =6.4031.....

6.4031 does not = 20