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Draw a line segment AB= 7cm.Take …

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Draw a line segment AB= 7cm.Take a point P on AB such that AP:PB= 3:4

Posted by Parminder Singh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Steps of construction:

Draw a line segment AB = 7 cm}
Draw a ray AX making an acute angle BAX with AB
Along AX mark (3 + 5) = 8 points.
A₁, A₂, A₃, A₄, A₅, A₆, A₇, A₈
such that AA₁= A₁A₂= A₂A₃ = A₃A₄ = A₄A₅ = A₅A₆ = A₆A₇ = A₇A₈
Join A₈B.
Through the point A₃, draw a line parallel to A₈B by making an angle equal to {tex}\angle{/tex}AA₈B at A₃.

Suppose this line meets AB at a point P.
Thus, P is the required point such that {tex}\frac { A P } { P B } = \frac { 3 } { 5 }{/tex}.

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