Question

What is the value of x, given that PQ||BC?

Answer 1

Explanation:

Answer D

Answer 2

Option D is correct.

Value of x is, 10 units.

Explanation:

Triangle Proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides of a triangle, then the line divide these two sides proportionality.

Given that:
`\overline{PQ} || \overline{BC}`

From the given figure, we have;

AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.

then, by triangle proportionality theorem;

`(AP)/(PB) =(AQ)/(QC)`

Substitute the given values, to find the value of x;

`(3)/(6) =(x)/(20)`

By cross multiply we have;

`60 = 6x`

Divide both sides by 6 we get;

10 = x

Therefore, the value of x is, 10 units