6.1.d practice: applying the pythagorean theorem and its converse

find $x$. write your answer in the form sqrt(__) with no spaces.

$x =$

Question

6.1.d practice: applying the pythagorean theorem and its converse

find $x$. write your answer in the form sqrt(__) with no spaces.

$x =$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Pythagorean Theorem" ], "current_concepts": [ "Pythagorean Theorem", "Radical Simplification" ] } ## Set up the Pythagorean equation $$ 8^2 + x^2 = (\sqrt{82})^2 $$ ## Solve for x squared $$ \begin{aligned} 64 + x^2 &= 82 \ x^2 &= 82 - 64 \ x^2 &= 18 \end{aligned} $$ ## Express x in the requested radical form $$ x = \sqrt{18} $$ Find $x$. Write your answer in the form sqrt(___) with no spaces. $x =$ sqrt(18) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Pythagorean Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the Pythagorean equation

Solve for x squared

Express x in the requested radical form

Answer: