Question

Compare the given dimensions of four triangles. Which triangle is possible to construct?ОООside lengths of 6 m, 8 m, and 9 mside lengths of 4 m, 5 m, and 12 mside lengths of 2 m, 5 m, and 8 mside lengths of 4 m, 7 m, and 13 m

Answer 1

ok

Triangle 1:

6, 8 and 9

6 + 8 = 14> 9

6 + 9 = 15 > 8

8 + 9 = 17 > 6 It's possible to build triangle 1, let me check the others.

Triangle 2.

4,5 and 12

4 + 5 = 9 < 12 It's not possible to build it

Triangle 3.

2, 5, 8

2 + 5 = 7 < 8 It's not possible

Triangle 4

4, 7 and 13

4 + 7 = 11 < 13 it's not possible

There is a theorem that states the the sum of 2 sides must be higher than the other side in order to build a triangle. Following this theorem, the only possible is the first one.