a. $\angle k, \angle j, \angle l$
b. $\angle k, \angle l, \angle j$
c. $\angle j, \angle k, \angle l$
d. $\angle j, \angle l, \angle k$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Triangle Inequality Theorem", "Side-Angle Relationship" ], "current_concepts": [ "Triangle Inequality Theorem", "Side-Angle Relationship", "Ordering Angles in Triangles" ] } ## Order the side lengths of the triangle $$ \begin{aligned} &KL = 5.2\text{ cm} \ &JK = 6.8\text{ cm} \ &JL = 8.9\text{ cm} \ &KL < JK < JL \end{aligned} $$ ## Relate side lengths to opposite angles $$ \begin{aligned} &\text{Opposite to } KL \text{ is } \angle J \ &\text{Opposite to } JK \text{ is } \angle L \ &\text{Opposite to } JL \text{ is } \angle K \end{aligned} $$ ## Order the angles from smallest to largest $$ \begin{aligned} &\angle J < \angle L < \angle K \end{aligned} $$

A. $\angle K, \angle J, \angle L$

B. $\angle K, \angle L, \angle J$

C. $\angle J, \angle K, \angle L$

D. $\angle J, \angle L, \angle K$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Side-Angle Relationship" ] }

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Question

Explanation:

Order the side lengths of the triangle

Relate side lengths to opposite angles

Order the angles from smallest to largest

Answer: