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# Construct the Following Quadrilaterals, Quadrilateral Dear De = 4 Cm Ea = 5 Cm Ar = 4.5 Cm ∠E = 60° ∠A = 90° - CBSE Class 8 - Mathematics

ConceptConstructing a Quadrilateral When Three Sides and Two Included Angles Are Given

#### Question

Construct the following quadrilaterals,

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠E = 60°

∠A = 90°

#### Solution

1) A rough sketch of this quadrilateral can be drawn as follows.

2) Draw a line segment DE of 4 cm and an angle of 60º at point E. As vertex A is 5 cm away from vertex E, cut a line segment EA of 5 cm from this ray.

3) Again draw an angle of 90º at point A. As vertex R is 4.5 cm away  from vertex A, cut a line segment RA of 4.5 cm from this ray.

4) Join D to R.

DEAR is the required quadrilateral.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 4: Practical Geometry
Ex. 4.40 | Q: 1.1 | Page no. 67
Solution Construct the Following Quadrilaterals, Quadrilateral Dear De = 4 Cm Ea = 5 Cm Ar = 4.5 Cm ∠E = 60° ∠A = 90° Concept: Constructing a Quadrilateral - When Three Sides and Two Included Angles Are Given.
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