On a straight line there are five points A B C D E – AB = 27 cm. CE = 119 cm. AC = BD find the length of the DE.
June 14, 2021 | education
| Given: AB = 27 cm; CE = 119 cm; AC = BD. Find DE.
For the solution, it is important to correctly position the points on the diagram.
A — B – C — D ——— E.
Since AC = BD, AНD AC = BC + AB, and BD = BC + CD, then AB = CD = 27 cm.
But CE = CD + DE, whence DE = CE – CD = 119 cm – 27 cm = 92 cm.
Answer: DE = 92 cm.
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