Question

if triangle abc, pq parallel to ab,and pq are on BCand CA respectively. IF CQ:QA=1:3 and CP=4,then BC??​

Answer 1

Answer:

BC = 16 units

Step-by-step explanation:

Basic proportionality theorem(Thales theorem):

If a line is drawn parallel to one side of a triangle then it cuts other two sides proportionally.

Given:

CQ : QA = 1: 3

$\implies\:\frac{CQ}{QA}=\frac{1}{3}$

since PQ is parallel to AB, by Thales theorem

$\frac{CP}{BP}=\frac{CQ}{QA}$

$\implies\:\frac{CP}{BP}=\frac{1}{3}$

$\implies\:\frac{4}{BP}=\frac{1}{3}$

$\implies\:BP=12$

Now,

BC=BP+PC

BC=12+4

BC=16