which equation could be used to find the length of the hypotenuse?

(2^2 + 5^2 = c^2)
(2^2 + c^2 = 5^2)
(c^2 - 2^2 = 5^2)
(5^2 - 2^2 = c^2)

Question

which equation could be used to find the length of the hypotenuse?

(2^2 + 5^2 = c^2)
(2^2 + c^2 = 5^2)
(c^2 - 2^2 = 5^2)
(5^2 - 2^2 = c^2)

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" ], "new_concepts": [], "current_concepts": [ "Pythagorean Theorem" ] } ## Identify the given side lengths of the right triangle $$ \begin{aligned} a &= 2\text{ ft} \ b &= 5\text{ ft} \ c &= \text{hypotenuse} \end{aligned} $$ ## Apply the Pythagorean theorem $$ a^2 + b^2 = c^2 $$ ## Substitute the given values into the formula $$ 2^2 + 5^2 = c^2 $$

(A) $2^2 + 5^2 = c^2$

(B) $2^2 + c^2 = 5^2$

(C) $c^2 - 2^2 = 5^2$

(D) $5^2 - 2^2 = c^2$

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

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QUESTION IMAGE

Question

Explanation:

Identify the given side lengths of the right triangle

Apply the Pythagorean theorem

Substitute the given values into the formula

Answer: