Question

Point D is on line segment \overline{CE}

CE
. Given DE=x+10,DE=x+10, CD=6,CD=6, and CE=3x,CE=3x, determine the numerical length of \overline{DE}.
DE
.

Answer 1

DE = 18

Explanation:

Given that,

Point D is on line segment CE.

DE = x+10, CD=6 and CE=3x

We need to find the length of DE.

ATQ,

CE = CD + DE

Putting all the values,

3x = 6 + x+10

Taking like terms together

3x-x = 16

2x = 16

x = 8

DE = x+10

= 8+10

= 18

Hence, the length of DE is 18.