Question

Which of the following can be sides of a triangle
1) 6,10,8
2) 46,24,21
3) 23,35,10
4) 8,9,17
Explain your answer

Answer 1

Answer:

See below

Step-by-step explanation:

Fact: The sum of two shortest sides must be greater than the longest side.

1.    6, 10, 8;   6 + 8 = 14; 14 > 10; This is a triangle.

2.  46, 24, 21;  24 + 21 = 45; 45 < 46;  This is not a triangle.

3.  23, 35, 10;   23 + 10 = 33; 33 < 35;  This is not a triangle.

4.  8, 9, 17;        8 + 9 = 17; 17= 17; This is not a triangle.