# vs.eyeandcontacts.com

## Chapter 10 Practical Geometry Exercise 10.3

Question 1: Construct ΔDEF such that DE = 5 cm, DF = 3 cm and m∠EDF = 90o.

Rough Figure

Actual Figure

Steps of Construction
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.
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°.

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.