Question

A line segment PQ is divided at a point A such that AQ : PQ = 2:5. Find the ratio of PA : AQ

Answer 1

$\huge\underbrace\mathfrak \red{ANSWER }.$

(1) Draw a line segment of length PQ=10cm.

(2) Draw any ray PX making an acute angle ∠QPX  with PQ.

(3) Draw a parallel line to PX by making ∠PQY=∠QPX

(4) Mark two points C1,C2 on PX and 3 ponts B1,B2,B3 such that PC1=C1C2

QB1=B1B2=B2B3

(5) Join C2 to B3. Then it intersect PQ at point A. Thus A is the point of dividing PQ such PQ/PA=5/2 or QA/PA=3/2 

The length of PA=4cm and QA=6cm. 

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