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If the lengths of two sides of a triangle are 5 and 9, [#permalink]
16 Dec 2015, 04:18
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If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle? Indicate all such lengths. A. 3 B. 5 C. 8 D. 15 Practice Questions Question: 13 Page: 154 Difficulty: medium
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Re: lengths of two sides of a triangle are 5 and 9 [#permalink]
16 Dec 2015, 04:24
SolutionKnowing the rule that the third side of a triangle must be no longer than the sum of the other two and not shortest of their difference So the answer is \(B\) and \(C\)
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Re: lengths of two sides of a triangle are 5 and 9 [#permalink]
10 Apr 2016, 21:16
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Third Side Rule for Triangles: If a and b represent two sides of a triangle, then the third side c must lie between their absolutevalue difference \((ab)\) and their sum \((a+b)\). \((ab) < c < (a+b)\)
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Re: lengths of two sides of a triangle are 5 and 9 [#permalink]
08 Jul 2017, 14:18
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sandy wrote: If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle? Indicate all such lengths. A. 3 B. 5 C. 8 D. 15 Practice Questions Question: 13 Page: 154 Difficulty: medium IMPORTANT RULE: If two sides of a triangle have lengths A and B, then . . . DIFFERENCE between A and B < length of third side < SUM of A and BSo, in this case we get: 9  5 < third side < 9 + 5 Simplify to get: 4 < third side < 14 Answer: B, C Cheers, Brent
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Re: lengths of two sides of a triangle are 5 and 9
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