If the two sides of the triangles have lengths 3.2 and 5.4,

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If the two sides of the triangles have lengths 3.2 and 5.4, [#permalink]

24 Aug 2003, 02:11

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If the two sides of the triangles have lengths 3.2 and 5.4, then
the length of the third side must be between

a. 0.0 and 2.2
b. 2.2 and 5.4
c. 2.2 and 8.6
d. 3.2 and 5.4
e. 5.4 and 8.6

Please enlighten your answer, and workings.

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[#permalink]

24 Aug 2003, 05:41

the answer is c.
the side length should lie between 8.6(3.2+5.4) and 2.2 (5.4-3.2).

8-)

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[#permalink]

24 Aug 2003, 07:59

Why do we have to use 8.6(3.2+5.4) and 2.2 (5.4-3.2)?
Under what circumstances do we use that?

Thanks.

CEO

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[#permalink]

24 Aug 2003, 15:07

tzec76 wrote:

Why do we have to use 8.6(3.2+5.4) and 2.2 (5.4-3.2)?
Under what circumstances do we use that?

Thanks.

Hello

ANY side of a triangle should be less than the addition of the other two sides and should be greater than the difference of the other two sides

Try constructing a triangle that violates the above conditions. That way, you will understand why it is so.

Thanks
Praetorian

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Re: Triangles [#permalink]

24 Jul 2009, 23:23

The third side will be more than the difference(2.2) and less tahn the sum(8.6)
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Re: Triangles [#permalink]

25 Jul 2009, 11:13

Basic property of triangle - if 2 sides are given (3.2,5.4) then ; third side (x) will be

(5.4-3.2) < x < (5.4+3.2) => 2.2 < x < 8.6 => OC

Note - also the perimeter limits will be => (3.2+5.4+2.2) < perimeter < (3.2+5.4+8.6) :wink:

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Re: Triangles [#permalink] 25 Jul 2009, 11:13

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If the two sides of the triangles have lengths 3.2 and 5.4,

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If the two sides of the triangles have lengths 3.2 and 5.4,

If the two sides of the triangles have lengths 3.2 and 5.4,

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