Determining the length of the third side of a triangle using the triangle inequality theorem, we know that the third side must be greater than the difference of the other two sides and less than the sum of the other two sides.
The first two sides measure 10 and 12. Therefore, the third side must be greater than 12 - 10 = 2 and less than 10 + 12 = 22.
Among the choices provided, the only value that falls in this range is 15.
Therefore, the length of the third side of the triangle is 15.
Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12.(1 point)
Responses
24
24
22
22
30
30
15
3 answers
For the quick check
1. 15
2. 5
3. 9
4. 2, 7, 6
5. 5.5
1. 15
2. 5
3. 9
4. 2, 7, 6
5. 5.5
Anon is correct!