triangle inequality and expected value 的數唔識

2008-08-21 2:50 am
How many different triangles can be constructed so that the lengths of the three sides are x cm, 2x cm and 12 cm, where x is and interger.
另外,我之前係知識+發問都冇人答的expected value 問題係呢個網
http://hk.knowledge.yahoo.com/question/question?qid=7008081902607
好心人幫答下(多就係多d冇法)

回答 (1)

2008-08-21 3:08 am
✔ 最佳答案
How many different triangles can be constructed so that the lengths of the three sides are x cm, 2x cm and 12 cm, where x is and interger.

x+2x > 12
x>4
2x+12>x
x>-6
12+x>2x
12>x

x>4, x>-6, x<12

x<12
it can be 11, 10, 9, 8, 7, 6, 5
but x > 4

so it can be 11, 10, 9, 8, 7, 6, 5


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