what is the length of the hypotenuse in a right triangle with legs of length 14 and 48?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pythagorean Theorem", "Pythagorean Triples" ], "new_concepts": [], "current_concepts": [ "Pythagorean Theorem", "Pythagorean Triples" ] } ## State the Pythagorean theorem formula $$ a^2 + b^2 = c^2 $$ ## Substitute the given leg lengths $$ \begin{aligned} 14^2 + 48^2 &= c^2 \ 196 + 2304 &= c^2 \ 2500 &= c^2 \end{aligned} $$ ## Solve for the hypotenuse $$ \begin{aligned} c &= \sqrt{2500} \ c &= 50 \end{aligned} $$ What is the length of the hypotenuse in a right triangle with legs of length 14 and 48? 50 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Pythagorean Theorem" ] }

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Question

Explanation:

State the Pythagorean theorem formula

Substitute the given leg lengths

Solve for the hypotenuse

Answer: