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35 votes
35 votes
An architect is constructing a model in the shape of a triangle that has one side length of 9 centimeters and another side length of 8 centimeters. Which

User Akansh Tayal
by
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1 Answer

20 votes
20 votes

Answer:

See Explanation

Explanation:

Given


image

The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.

To do this, we make use of the triangle inequality theorem which states that:

Given three sides (a, b and c) of a triangle, the following inequalities exist.


image


image


image

Let a and b represent the two sides such that:


image


image

The inequalities become:


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image


image

Solve for c in each:


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image


image


image


image


image


image


image


image

The value of c must be positive, so, we consider;


image and
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Rewrite:


image and
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Combine both


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Hence, the value of c is:


image

User Fishsticks
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3.4k points
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