## 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

Answer:

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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