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# Construct a Quadrilateral Abcd, in Which Ab = 6 Cm, Bc = 4 Cm, Cd = 4 Cm, ∠B = 95° and ∠C = 90°. - Mathematics

Course
ConceptConstructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known

#### Question

Construct a quadrilateral ABCD, in which AB = 6 cm, BC = 4 cm, CD = 4 cm, ∠B = 95° and ∠C = 90°.

#### Solution

Steps of construction:

Step I: Draw BC = 4 cm .

Step II: Construct ∠ABC = 95° at B .

Step III : With B as the centre and radius 6 cm, cut off BA = 6 cm .

Step IV: Construct ∠BCD = 90° at C .

Step V : With C as the centre and radius 4 cm, cut off BA = 4 cm .

Step VI: Join CD .

The quadrilateral so obtained is the required quadrilateral .

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 18: Practical Geometry (Constructions)
Ex. 18.4 | Q: 1 | Page no. 10
Solution Construct a Quadrilateral Abcd, in Which Ab = 6 Cm, Bc = 4 Cm, Cd = 4 Cm, ∠B = 95° and ∠C = 90°. Concept: Constructing a Quadrilateral - When Two Adjacent Sides and Three Angles Are Known.
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