construct a quadrilateral pqrs where PQ is equal to 4 centimetre square is equal to 6 and m r s is equal to 5 cm PS is equal to 5.5 cm and PR is equal to 7 cm
Answers
Given: AB = 4.5 cm, BC = 5.5 cm,
CD = 4 cm, AD = 6 cm, AC = 7 cm
To construct: A quadrilateral ABCD
Steps of construction:
(a) Draw AB = 4.5 cm.
(b) Draw an arc taking radius 5.5 cm from point B.
(c) Taking radius 7 cm, draw an another arc from point A which intersects the first arc at point C.
(d) Join BC and AC.
(e) Draw an arc of radius 6 cm from point A and draw another arc of radius 4 cm from point C which intersects at D.
(f) Join AD and CD.
It is required quadrilateral ABCD.
Answer:-
A rough sketch will help us in visualising the quadrilateral with this first and mark the measurements.
Step-1
from the Rough sketch it is easy to see the triangle pqr can be constructed using SSS construction condition.
Step-2
now we have to allocate IV. This as would be on the side opposite to Q with reference to pick PR for that we have two measurement .S is 5.5 centimetre away from show with PS the centre draw an Arc of radius 5.5 CM the points is somewhere on this arc.
Step-3
yes is 5 centimetre away from earth so with Rs Centre draw an Arc of radius 5 centimetre the point is somewhere on this arc also.
Step-4
since we lies on both the arces 20 the point into sitting of the two arcs mark B can complete ABCD is required quadrilateral