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Chapter 10 Practical Geometry Ex 10.3 Solutions

Question - 1 : - Construct ∆DEF such that DE = 5 cm, DF = 3 cm and m ∠DEF = 90°.

Answer - 1 : -

Steps of construction:
(i) Draw DF = 3 cm.
(ii) Draw an angle of 90° at D and cut DE = 5 cm.
(iii) Join EF.
(iv) EPF is the required triangle.
Using SAS property

Question - 2 : - Construct an isosceles triangle in which the lengths of each of its equal sides is 6.5 cm and the angle between them is 110°.

Answer - 2 : -

Steps of construction:
(i) Draw AB = 6.5 cm.
(ii) Draw angle of 110° at A and cut AC = 6.5 cm.
(iii) Join C to B.
(iv) CAB is the required triangle.
[Using SAS criterion]

Question - 3 : - Construct ∆ABC with BC = 7.5 cm, AC = 5 cm and m ∠C = 60°.

Answer - 3 : -

Steps of construction:
(i) Draw BC = 7.5 cm.
(ii) Draw ∠C = 60° such that AC = 5 cm.
(iii) Join A to B.
(iv) ABC is the required triangle.
[Using SAS Criterion]

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