mid point them

2012-04-01 9:22 am






please show how to find JH by step



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回答 (1)

2012-04-01 12:29 pm
✔ 最佳答案
AB // CD (mid-pt. theorem)

∠ AJB = ∠ CJD (vert. opp.∠s)
∠ JAB = ∠ JCD (alt.∠s, AB//CD)
∴ △CJD ~ △AJB(A.A.)

∴ AJ : JC = BJ : JD
22.5 : 9 = (JH + HB) : JD
5 : 2 = (JH + HB) : (DH - JH)

Since DH = HB = 14 (mid-pt. theorem)

5 : 2 = (JH + 14) : (14 - JH)
2(JH + 14) = 5(14 - JH)
2JH + 28 = 70 - 5JH
7JH = 42
JH = 6


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