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Question

Question 2
Construct the Quadrilateral PLAN where
PL=4 cm, LA = 6.5 cm, P=90, A=110, B=85

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Solution

Given PL=4 cm, LA = 6.5 cm, P=90, A=110, B=85

To construct : A quadrilateral PLAN

To find : L=360(90+85+110)=360285=75

Steps of construction:

(a) Draw a line segment PL=4 cm

(b) Construct angle of 90 at P and produce the side PN.

(c) Construct angle of 75 at L and with L as centre, draw an arc of radius 6 cm, which intersects at A.

(d) Construct A=110 at A and produce the side AN which intersects PN at N.

It is the required quadrilateral PLAN.


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