what is the length of the hypotenuse, $x$, if $(12, 35, x)$ is a pythagorean triple?

33
37
47
58

Question

what is the length of the hypotenuse, $x$, if $(12, 35, x)$ is a pythagorean triple?

33
37
47
58

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pythagorean Theorem", "Pythagorean Triples" ], "new_concepts": [], "current_concepts": [ "Pythagorean Theorem", "Pythagorean Triples" ] } ## Set up the Pythagorean equation $$ 12^2 + 35^2 = x^2 $$ ## Calculate the squares $$ \begin{aligned} 144 + 1225 &= x^2 \ 1369 &= x^2 \end{aligned} $$ ## Solve for x $$ x = \sqrt{1369} = 37 $$

33

37

47

58

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Pythagorean Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the Pythagorean equation

Calculate the squares

Solve for x

Answer: