If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the ...
If 10 and 15 are the lengths of two sides of a triangular region, which of the following can be the length of the third side?
I. 10
II. 15
III. 25
Answer/Solution
I and II only
Steps/Work
The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.
Let x be the length of the third side.
15-10 < x < 15+10
5 < x < 25
The answer is C.
Let x be the length of the third side.
15-10 < x < 15+10
5 < x < 25
The answer is C.