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If the lengths of two of the sides of a triangle are 9 and 1

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If the lengths of two of the sides of a triangle are 9 and 1 [#permalink] New post 16 May 2017, 07:54
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46% (00:20) correct 53% (00:23) wrong based on 54 sessions


If the lengths of two of the sides of a triangle are 9 and 10, which of the following could be the length of the third side?

Indicate all such lengths.

❑ 1

❑ 11

❑ 21
[Reveal] Spoiler: OA

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Re: If the lengths of two of the sides of a triangle are 9 and 1 [#permalink] New post 18 May 2017, 13:18
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Carcass wrote:


If the lengths of two of the sides of a triangle are 9 and 10, which of the following could be the length of the third side?

Indicate all such lengths.

❑ 1

❑ 11

❑ 21


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 B

So, we get: 10 - 9 < length of third side < 10 + 9
Simplify: 1 < length of third side < 19

Only 11 works.

Answer:
[Reveal] Spoiler:
11


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Re: If the lengths of two of the sides of a triangle are 9 and 1   [#permalink] 18 May 2017, 13:18
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If the lengths of two of the sides of a triangle are 9 and 1

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