Construct a Quadrilateral Abcd, Given that Ab = 8 Cm, Bc = 8 Cm, Cd = 10 Cm, Ad = 10 Cm and ∠A = 45°. - Mathematics

Construct a quadrilateral ABCD, given that AB = 8 cm, BC = 8 cm, CD = 10 cm, AD = 10 cm and ∠A = 45°.

Solution

Steps of Construction:

Step I: Draw AB = 8 cm .

$\text { Step II: Construct } \angle BAD = 45^\circ.$

Step III : With A as the centre and radius 10 cm, cut off AD = 10 cm .

Step IV: With D as the centre and radius 10 cm, draw an arc .

Step V : With B as the centre and radius 8 cm, draw an arc to intersect the arc drawn in Step IV at C .

Step VI: Join BC and CD to obtained the required quadrilateral .

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RD Sharma Class 8 Maths
Chapter 18 Practical Geometry (Constructions)
Exercise 18.3 | Q 2 | Page 8