find the segment lengths.

fg =
hi =
gi =

Question

find the segment lengths.

fg =
hi =
gi =

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Segment Addition Postulate" ], "new_concepts": [], "current_concepts": [ "Segment Addition Postulate" ] } ## Identify the given segment lengths Using the *Segment Addition Postulate* knowledge point $$ \begin{aligned} &GH = 8\ &FH = 20\ &FI = 31 \end{aligned} $$ ## Calculate the length of FG Using the *Segment Addition Postulate* knowledge point $$ \begin{aligned} &FG + GH = FH\ &FG + 8 = 20\ &FG = 12 \end{aligned} $$ ## Calculate the length of HI Using the *Segment Addition Postulate* knowledge point $$ \begin{aligned} &FH + HI = FI\ &20 + HI = 31\ &HI = 11 \end{aligned} $$ ## Calculate the length of GI Using the *Segment Addition Postulate* knowledge point $$ \begin{aligned} &GI = GH + HI\ &GI = 8 + 11\ &GI = 19 \end{aligned} $$ Find the segment lengths. FG = 12 HI = 11 GI = 19 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Segment Addition Postulate" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given segment lengths

Calculate the length of FG

Calculate the length of HI

Calculate the length of GI

Answer: