## Chapter 10 Practical Geometry Exercise 10.5

**Question 1: Construct the right angled ΔPQR, where m∠Q = 90°, QR = 8cm andPR = 10 cm.Answer:**

Rough Figure

Actual Figure

Steps of Construction

1. Draw QR = 8 cm.

2. Take Q as a centre draw an angle Q such that ∠XQR = 90°.

3. Take R as a centre, 10 cm as radius draw an arc to intersect QX at P.

4. Join PR.

5. ⃤ PQR is our required triangle.

**Question 2: Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long**

Answer:

Rough Figure

Answer:

Actual Figure

Steps of Construction

1. Draw BC = 4 cm.

2. Take B as a centre draw an angle B such that ∠XBC = 90°.

3. Take C as a centre, 6 cm as radius draw an arc to intersect BX at A.

4. Join AC.

5. ⃤ ABC is our required triangle.**Question 3: Construct an isosceles right-angled triangle ABC, where m∠ACB = 90° and AC = 6 cm.Answer:**Rough Figure

Actual Figure

Steps of Construction

1. Draw CB = 6 cm.

2. Take C as a centre draw an angle C such that ∠XCB = 90°.

3. Take C as a centre, 6 cm as radius draw an arc to intersect CX at A.

4. Join AB.

5. ⃤ ABC is our required triangle.

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