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.

univerkov | 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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