Question

Given PQ¯¯¯¯¯∥BC¯¯¯¯¯ , what is PB ?

9.6 units

10 units

13 units

14 units

Answer 1

PB is transversal line because PQ and PB are parallel line

Answer 2

Answer:

The answer of this problem is "10"

Step-by-step explanation:

As we are given with the following information that in a triangle PQ is parallel to BC that divides the triangle into two parts i.e small triangle and large triangle.

Length of the line AP = 4

Length of the line AQ = 6

Length of the line AC = 21

Length of the line AB = 4 + x

x is the lenght of line PB that is to be find.

We will apply the law of Equilateral triangle here to solve the problem of unknown length PB that is denoted by x.

For triangle ΔAPQ = $\frac{4}{6}$

For triangle ΔABC = $\frac{x+4}{21}$

Equalising the two triangles because PQ II BC

ΔAPQ = ΔABC

$\frac{4}{6}$ = $\frac{x+4}{21}$

$\frac{4 x 21}{6}$ = x + 4

14 = x + 4

x = 10

I have also attached the figure for complete explanation of the answer. Hope you will be satisfied of it.