Question

determine the range of values allowed for the missing side length. type in the correct values.

< x <

Explanation:

<pre_analysis>
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"step_cot",
"blank_filling_formatter",
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"concepts_used": [
"Triangle Inequality Theorem"
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</pre_analysis>

<reasoning>

Apply the triangle inequality theorem

Using the Triangle Inequality Theorem knowledge point
\[

$$\begin{aligned} &16 - 12 < x < 16 + 12\\ &4 < x < 28 \end{aligned}$$

\]
</reasoning>

<answer>
Determine the range of values allowed for the missing side length. Type in the correct values.

<blank>4</blank> \(< x <\) <blank>28</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Geometry",
"Triangle Inequality Theorem"
]
}
</post_analysis>

Answer:

<pre_analysis>
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"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"tutor",
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"concepts_used": [
"Triangle Inequality Theorem"
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"current_concepts": [
"Triangle Inequality Theorem"
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</pre_analysis>

<reasoning>

Apply the triangle inequality theorem

Using the Triangle Inequality Theorem knowledge point
\[

$$\begin{aligned} &16 - 12 < x < 16 + 12\\ &4 < x < 28 \end{aligned}$$

\]
</reasoning>

<answer>
Determine the range of values allowed for the missing side length. Type in the correct values.

<blank>4</blank> \(< x <\) <blank>28</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Geometry",
"Triangle Inequality Theorem"
]
}
</post_analysis>