| Skinny Nerd Join Date: May 2008 Location: New York City
Posts: 76
|  Geometry Reply :
07-23-2008
Quote:
Originally Posted by Hazyskies  Suppose J is between H and K. Use the segment addition postulate to solve for X. Then find the length of each segment.
HJ=5X
JK=7x
KH=96
I have no idea what to do. | I will use the letters given to explain the Segment Addition Postulate. Look at this picture: H----------J----------K Here is the postulate: If HJ + JK = HK, then point J is between points H and K. You were given that segment HJ = 5x. You were also given that segment JK = 7x. We know that KH, which can also be written as HK, is 96. We add add 5x and 7x, equate it to 96 and simplify. 5x + 7x = 96 12x = 96 x = 8....BUT, are we done? Here, 8 is the answer for x BUT not for the length of each line segment. We replace x in each segment with 8 to find what the question is asking for. SEGMENT: HJ = 5x HJ = 5(8) HJ = 40 ======= SEGMENT JK = 7x JK = 7(8) JK = 56 ======= THE PROVE: HJ = 40 JK = 56 KH = 96 40 + 56 = 96 96 = 96...It checks!!! Final answer: Segment HJ = 40 Segment JK = 56 mathman |
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