what is the length of the unknown leg in the right triangle?

* $\sqrt{5}\text{ m}$
* $5\text{ m}$
* $\sqrt{45}\text{ m}$
* $15\text{ m}$

Question

what is the length of the unknown leg in the right triangle?

* $\sqrt{5}\text{ m}$
* $5\text{ m}$
* $\sqrt{45}\text{ m}$
* $15\text{ m}$

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" ] } ## Identify the given values and formula $$ \begin{aligned} &\text{Hypotenuse } c = 25\text{ m} \ &\text{Known leg } a = 20\text{ m} \ &\text{Unknown leg } b \ &a^2 + b^2 = c^2 \end{aligned} $$ ## Solve for the unknown leg $$ \begin{aligned} &20^2 + b^2 = 25^2 \ &400 + b^2 = 625 \ &b^2 = 225 \ &b = \sqrt{225} = 15\text{ m} \end{aligned} $$

(A) $\sqrt{5}\text{ m}$

(B) $5\text{ m}$

(C) $\sqrt{45}\text{ m}$

(D) $15\text{ m}$

{ "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 formula

Solve for the unknown leg

Answer: