point a is the point of concurrency of the angle bisectors of $\delta def$

what is the length of za?

$za = 3\text{ cm}$
$za = 4\text{ cm}$
$za = 5\text{ cm}$
$za = 6\text{ cm}$

Question

point a is the point of concurrency of the angle bisectors of $\delta def$

what is the length of za?

$za = 3\text{ cm}$
$za = 4\text{ cm}$
$za = 5\text{ cm}$
$za = 6\text{ cm}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Incenter Theorem" ], "new_concepts": [], "current_concepts": [ "Incenter Theorem", "Triangle Centers" ] } ## Identify the properties of the incenter $$ \begin{aligned} &\text{Point } A \text{ is the incenter of } \triangle DEF.\ &AX \perp DE,\quad AY \perp DF,\quad AZ \perp EF. \end{aligned} $$ ## Apply the Incenter Theorem $$ \begin{aligned} &ZA = YA = XA\ &XA = 3\text{ cm} \end{aligned} $$ ## Calculate the length of ZA $$ ZA = 3\text{ cm} $$

ZA = 3cm

ZA = 4cm

ZA = 5cm

ZA = 6cm

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

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QUESTION IMAGE

Question

Explanation:

Identify the properties of the incenter

Apply the Incenter Theorem

Calculate the length of ZA

Answer: