reynaldo rode his bike 2 miles north and 3 miles east. which equation should he use to find the distance, d, that takes him directly back home?

$2^2 + 3^2 = d^2$
$3^2 - 2^2 = d^2$
$d^2 + 2^2 = 3^2$
$d^2 + 3^2 = 2^2$

Question

reynaldo rode his bike 2 miles north and 3 miles east. which equation should he use to find the distance, d, that takes him directly back home?

$2^2 + 3^2 = d^2$
$3^2 - 2^2 = d^2$
$d^2 + 2^2 = 3^2$
$d^2 + 3^2 = 2^2$

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 and hypotenuse $$ \begin{aligned} &\text{Leg } a = 2 \ &\text{Leg } b = 3 \ &\text{Hypotenuse } c = d \end{aligned} $$ ## Apply the Pythagorean theorem $$ \begin{aligned} &a^2 + b^2 = c^2 \ &2^2 + 3^2 = d^2 \end{aligned} $$

(A) $2^2 + 3^2 = d^2$

(B) $3^2 - 2^2 = d^2$

(C) $d^2 + 2^2 = 3^2$

(D) $d^2 + 3^2 = 2^2$

{ "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 and hypotenuse

Apply the Pythagorean theorem

Answer: