Question

From the below figure, AP:AB=
Please answer me step by step​

Answer 1

What is the value of one side ?

Answer 2

Given:

From the below figure, we see, in the triangle ABC, PQ is parallel to BC.

To find:

The ratio of AP:AB.

Solution:

• Here ΔABC and ΔAPQ are identical.
• As BC║PQ [ as per the diagram]
• So, $\frac{AB}{AP}=\frac{BC}{PQ} \\or, \frac{AP}{AB}=\frac{PQ}{BC}$
• Now let assume P divides AB in a 1:r ratio
• So, $\frac{AP}{PB}=\frac{1}{r}$
• So, AB=AP+PB= (1+r)AP
• So, AP: AB=1:(1+r)

Final answer:

AP: AB= 1:(1+r) [Where P divides AB in a 1:r ratio].