Question

Oint C is on line segment BD‾\overline{BD} BD . Given BD=5x,BD=5x, BD=5x, BC=4x,BC=4x, BC=4x, and CD=4,CD=4, CD=4, determine the numerical length of BD‾.\overline{BD}. BD .

Answer 1

Therefore the required value of
`\overline{BD}` is 20 units.

Explanation:

Line Segment: Line segment is a portion of a line whose has two end points.

Given that point C is on the line segment
`\overline{BD}`.

`\overline{BD}` = 5x ,
`\overline{BC}` = 4x and
`\overline{CD}` = 4

C is the point of the line segment of
`\overline{BD}`.

So we can write

`\overline {BD}= \overline{BC}+\overline{CD}`

Putting the values of
`\overline{BD}`,
`\overline{BC}` and
`\overline{CD}`

5x=4x+ 4

⇒5x-4x= 4

⇒x=4

So we get the value of x.

To get the value of
`\overline{BD}` , we need to put the value of x in the value of
`\overline{BD}`.

Therefore,

`\overline{BD}` = 5×4

=20

Therefore the required value of
`\overline{BD}` is 20 units.