which equation can be used to find the unknown length, (b), in this triangle?

(4^2 + b^2 = 5^2)
(4^2 - b^2 = 5^2)
(5^2 + 4^2 = b^2)
(5^2 + b^2 = 4^2)

Question

which equation can be used to find the unknown length, (b), in this triangle?

(4^2 + b^2 = 5^2)
(4^2 - b^2 = 5^2)
(5^2 + 4^2 = b^2)
(5^2 + b^2 = 4^2)

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 values and the hypotenuse $$ \begin{aligned} &\text{Legs: } a = 4\text{ in.},\quad b = b\ &\text{Hypotenuse: } c = 5\text{ in.} \end{aligned} $$ ## Apply the Pythagorean theorem $$ \begin{aligned} &a^2 + b^2 = c^2\ &4^2 + b^2 = 5^2 \end{aligned} $$

(A) $4^2 + b^2 = 5^2$

(B) $4^2 - b^2 = 5^2$

(C) $5^2 + 4^2 = b^2$

(D) $5^2 + b^2 = 4^2$

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

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QUESTION IMAGE

Question

Explanation:

Identify the given values and the hypotenuse

Apply the Pythagorean theorem

Answer: