## Chapter 10 Practical Geometry Exercise 10.2

**Question 1: Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6 cmAnswer:**

Rough Figure

Actual Figure

Steps of Construction

1. Draw YZ = 5cm.

2. Take Y as a centre, 4.5 cm as a radius draw an arc.

3. Take Z as a centre, 6 cm as a radius draw another arc and it intersects the previous arc at X.

4. Join XY.

5. Join XZ.

6. ⃤ XYZ is our required triangle.**Question 2: Construct an equilateral triangle of side 5.5 cm.Answer:**Rough Figure

(Property used - In an equilateral triangle all the sides are equal.)

Actual figure

1. Draw BC = 5.5 cm.

2. Take B as a centre, 5.5 cm as a radius draw an arc.

3. Take C as a centre, 5.5 cm as a radius draw another arc and it intersects the previous arc at A.

4. Join BA.

5. Join CA.

6. ⃤ ABC is our required triangle.

**Question 3: Draw ΔPQR with PQ = 4 cm, QR = 3.5 cm and PR = 4 cm. What type of triangle is this?**

Answer:

Answer:

Rough Figure

Actual figure

Steps of Construction

1. Draw QR = 3.5 cm.

2. Take Q as a centre, 4 cm as a radius draw an arc.

3. Take R as a centre, 4 cm as a radius draw another arc and it intersects the previous arc at P.

4. Join PQ.

5. Join PR.

6. ⃤ PQR is our required triangle.**Question 4: Construct ΔABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ∠B.Answer:**

Rough figure

Steps of Construction

1. Draw AC = 6.5 cm.

2. Take A as a centre, 2.5 cm as a radius draw an arc.

3. Take C as a centre, 6 cm as a radius draw another arc and it intersects the previous arc at B.

4. Join AB.

5. Join CB.

6. ⃤ ABC is our required triangle.

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