two sides of a triangle measure 12 and 10. which inequality shows all the possible lengths of the third…
two sides of a triangle measure 12 and 10. which inequality shows all the possible lengths of the third side, x?\na 2 < x < 22\nb 10 < x < 12\nc 0 < x < 22\nd 3 < x < 21
Answer
Explanation:
Step1: Apply triangle - inequality theorem
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Let the two given sides be (a = 12) and (b = 10). Then (a + b>x) and (|a - b|<x). First, (a + b=12 + 10=22), so (x<22). Second, (|a - b|=|12 - 10| = 2), so (x>2).
Answer:
A. (2 < x < 22)