what is the length of the hypotenuse of the triangle below?

a. (3sqrt{2})
b. (6sqrt{2})
c. 3
d. (9sqrt{2})
e. 6
f. 1

Question

what is the length of the hypotenuse of the triangle below?

a. (3sqrt{2})
b. (6sqrt{2})
c. 3
d. (9sqrt{2})
e. 6
f. 1

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "45-45-90 Triangle Theorem" ], "new_concepts": [], "current_concepts": [ "Special Right Triangles", "45-45-90 Triangle Theorem", "Pythagorean Theorem" ] } ## Identify the given triangle properties Using the *45-45-90 Triangle Theorem* knowledge point $$ \begin{aligned} &\text{Type: } 45^\circ\text{-}45^\circ\text{-}90^\circ \text{ right triangle}\ &\text{Leg length } (s) = 3\sqrt{2}\ &\text{Hypotenuse } (h) = s\sqrt{2} \end{aligned} $$ ## Calculate the hypotenuse length Using the *45-45-90 Triangle Theorem* knowledge point $$ \begin{aligned} h &= (3\sqrt{2}) \cdot \sqrt{2} \ h &= 3 \cdot 2 \ h &= 6 \end{aligned} $$

A. $3\sqrt{2}$

B. $6\sqrt{2}$

C. 3

D. $9\sqrt{2}$

E. 6

F. 1

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Special Right Triangles" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given triangle properties

Calculate the hypotenuse length

Answer: