Answer: Yes a triangle can be formed.
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Explanation:
- Add the first two sides to get 7+10 = 17 which is larger than the third side (9)
- Add the first and last sides to get 7+9 = 16 which is larger than the second side (10)
- Add the last two sides to get 10+9 = 19 which is larger than the first side (7)
As that list above shows, adding any two sides results in a sum larger than the third remaining side. The conditions of the triangle inequality theorem have been met to allow for a triangle to be formed.
In general the triangle inequality theorem is:
The order doesn't matter. All that's important is that all three conditions are met.
