Q. 14.3( 59 Votes )

# Construct quadrilateral with the measurements given below:

Quadrilateral ABCD with AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm and AC = 7 cm

Answer :

GIVEN : In quadrilateral ABCD ,

AB = 4.5 cm

BC = 5.5 cm

CD = 4 cm

AD = 6 cm

AC = 7 cm

PROCEDURE :

Step 1 : draw a rough sketch of the quadrilateral ABCD with the given measurements.

Step 2 : Construct ΔABC using SSS construction property with AB = 4.5 cm , BC = 5.5 cm and AC = 7 cm.

Step 3 : we have to locate the 4^{th} vertex ‘D’ . it would be on the other side of AC. So , with center A and radius 6 cm(AD = 6 cm) draw an arc and with center C and radius 4 cm (CD = 4 cm) draw another arc to cut the previous arc at D.

Step 4 : join A,D and C,D to complete the quadrilateral ABCD.

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