Chapter 10 Practical Geometry Exercise 10.3
Question 1: Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90o.
Answer:
Rough Figure
Actual Figure
1. Draw DF = 3 cm.
2. Take D as a centre, draw an angle such that ∠XDF = 90°
3. Take D as a centre, 5 cm as a radius draw an arc to meet XD at E.
4. Join EF.
5. ⃤ DEF is our required triangle.
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 110o.
Answer:
Rough Figure
Actual Figure
Steps of Construction
1. Draw AC = 6.5 cm.
2. Take A as a centre, draw an angle such that ∠CAX = 110°.
3. Take A as a centre, 6.5 cm as a radius draw an arc to meet XA at B.
4. Join BC.
5. ⃤ ABC is our required triangle.
Question 3: Construct ΔABC with BC = 7.5 cm, AC = 5 cm and m∠C = 60°.
Answer:
Rough Figure
Actual Figure
Steps of Construction
1. Draw BC = 7.5 cm.
2. Take C as a centre draw an angle such that ∠BCX = 60°.
3. Take C as a centre, 5 cm as a radius draw an arc to meet XC at A.
4. Join BA.
5. ⃤ ABC is our required triangle.
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