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

22
22

15
15

30
30

24

Answer 1

By the triangle inequality, the third side x must satisfy |12 − 10| < x < 12 + 10, i.e. 2 < x < 22. From the choices only 15 lies in that interval. So the third side is 15.