Question

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

Answer 1

For the quick check
1. 15
2. 5
3. 9
4. 2, 7, 6
5. 5.5

Answer 2

Anon is correct!

Answer 3

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.