Question 374582: GIVEN 2 SIDES OF A TRIANGLE(4 AND 15) WHICH OTHER IS THE POSSIBLE SIDE LENGHT FOR THE TRIANGLE:
1, 2, 3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
(CIRCLE THE POSSIBLE ONES)
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! Hmm. let's see:
If x = unknown side, then the sides of the triangle are 4, 15, and x. By a combination of the use of the triangle inequality,
4 + 15 > x, or 19 > x;
4+x > 15, or x > 11;
15 +x > 4, or x > -11. This last inequality doesn't give us any new information. But from the first two, we get
19 > x > 11. There are 7 possibilities, looking at your list. Now you know...
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