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APÀÇ ±æÀÌ´Â 3, BPÀÇ ±æÀÌ´Â 1, BCÀÇ ±æÀÌ´Â 3À϶§ ACÀÇ ±æÀÌ´Â ¾ó¸¶Àΰ¡¿ä?
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POS43
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12-13 03:38
AC = 5
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http://youtu.be/60-nQ9hiNtI
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http://mid.ebs.co.kr/course/daum/preView?courseId=10024334&stepId=STEP10027139&lectId=LS0000000010573394&tapNm=
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´Ü°èº°·Î ÃÖ´ëÇÑ ±æ°Ô Ç®¾î¼ ´äÀ» ±¸ÇÏÀÚ¸é
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AB:AP = BC:PQ = AC:AQ = 4:3 (»ï°¢Çü ´àÀ½ºñ Á¤ÀÇ)
4:3 = 3:PQ
PQ = 9/4 ¡Ú (µî½ÄÀÇ ¼ºÁú, ¿ÜÇ×ÀÇ °ö = ³»Ç×ÀÇ °ö µîµî)
PQ = PI + IQ
(PI = PB, IQ = QC, ³»½ÉÀÇ ¹Øº¯ÀÇ ÆòÇ༱ ¾ù°¢ À̵»ï°¢Çü)
PQ = 1 + IQ
9/4 = 1 + IQ
IQ = 5/4
QC = 5/4 ¡Ú
AC:AQ = AB:AP = 4:3
(AQ + QC):AQ = 4:3
(AQ + 5/4):AQ = 4:3
3(AQ + 5/4) = 4AQ
3AQ + 15/4 = 4AQ
AQ = 15/4 ¡Ú
AC = AQ + QC = 15/4 + 5/4 = 20/4 = 5
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ÇÇŸ°í¶ó½ºÀÇ Á¤¸®¿¡ µû¶ó
AC^2=AB^2+BC^2
=(AP+PB)^2+BC^2
=(3+1)^2+3^2
=16+9
=25
¡Å AC=5
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