Question

Checking Answers
Which three lengths could be the length of the sides of a triangle?
6,10,9
8,4,2
7,7,34
10,25,15<--

Answer 1

@AllTehMaffs @FutureMathProfessor @hayday13 @shania0703

Answer 2

So I was right with 10,25,15?

Answer 3

No, it would be:
A. 6, 10, 9
Triangle inequality theorem states:
The two short sides added together should be longer then the longest side to make a triangle, this only happens in answer choice A. (6, 10, 9)

References:
http://www.mathopenref.com/triangleinequality.html
https://en.wikipedia.org/wiki/Triangle_inequality

6, 10, 9 \(\Rightarrow\) 6 + 9 = 15; 15 is bigger than 9 so yes a triangle can be formed.

8, 4, 2 \(\Rightarrow\) 2 + 4 = 6; 6 is not bigger than 8, so no a triangle can be formed.

Answer 4

Ah okay I see thanks :)

Answer 5

Okay, great :-).
Glad you understand.