Question

Construct any line segment ab without measuring it,copy it and construct another line segment pq such that pq=3ab​

Answer 1

$pq$ is the required line like $pq=3ab$.

Step-by-step explanation:

Given,

Construct line segment $ab$ without measuring ,Copy it and construct another line segment $pq$ such that $pq=3ab$

Following steps:

• ​Draw any line segments $ab$ using scale.
• Draw another reference line $L$ and take any point $p$ on the line.
• Measure the length $ab$ using compass.
• $p$ as center and $ab$ measure as radius draw an arc on reference line like $px=ab$ again $x$ as center draw another arc on same direction on the same line like $xy=ab$ similarly by the same draw an arc like $yq=ab$
• $pq=3ab$ as shown in the figure.

Hence, $pq$ is the required line like $pq=3ab$.

Answer 2

PQ is the required line

PQ = 3 AB

Step-by-step explanation:

• draw a line segment AB of any length
• now draw another line say L
• open compass from point A and radius = AB
• take a point P on line L
• draw an arc from P and name it as R
• similarly with the same radius mark a another point from R and name it as S and again from S
• with the same radius mark a another point Q
• PQ is the required line where PQ = 3 AB

hence , PQ is the required line

#Learn more:

May lin uses a ruler and compass to construct a triangle with side length 3cm, 5cm, 7cm.before may lin construct the triangle how can she tell if the triangle will be a right triangle? explain

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