Given two sides of a triangle, find a range of possible lengths for the third side.9 yd, 32 yd

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03-11-2022
Mathematics

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Given two sides of a triangle, find a range of possible lengths for the third side.9 yd, 32 yd

Sagot :

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EllaniP189972 EllaniP189972 · Answer 1 · 2022-11-03T03:21:33-04:00

To determine the range of possible values for the third side of a triangle with sides of *9yd and 32yd you have to apply the triangle inequality theorem

This theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third one.

For example, for the triangle ABC

[tex]AB+BC>CA[/tex]

If AB=9yd and BC=32yd, then the range for CA is

[tex]\begin{gathered} 9+32>CA \\ 41>CA \end{gathered}[/tex]

The third side of the triangle must be 41yd or less.

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