Table of Contents

Toggle## Class 7, Maths, Chapter 10, Exercise 10.5 Solutions

**Q.1. Construct the right angled ∆PQR, where m****∠****Q = 90°, QR = 8cm and PR = 10 cm.**

**Ans:**

**Steps of construction:**

- Draw a line segment QR = 8 cm.
- At point Q, draw an angle of 90
^{o}i.e. ∠XQR = 90^{o}. - With R as a center and radius 10 cm, draw an arc that cuts the ray XQ at P.
- Join PR.

Then, ΔPQR is the required right angled triangle.

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

**Ans:**

**Steps of construction:**

- Draw a line segment BC = 4 cm.
- At point B, draw an angle of 90
^{o}i.e. ∠XBC = 90^{o}. - With C as a centre and radius 6 cm, draw an arc that cuts BX at A.
- Join AC.

Then, ΔABC is the required right angled triangle.

**Q.3. Construct an isosceles right-angled triangle ABC, where m****∠****ACB = 90° and AC = 6 cm.**

**Ans:**

**Steps of construction:**

- Draw a line segment BC = 6 cm.
- At point C, draw an angle of 90
^{o}i.e. ∠XCB = 90^{o}. - With C as a center and radius 6 cm, draw an arc that cuts CX at A.
- Join AB.

Then, ΔABC is the required right angled triangle.

## NCERT Solutions For Class 7 Maths, Chapter 10, Practical Geometry (All Exercises)

**Class 7, Maths, Chapter 9, Practical Geometry **

**Class 7, Maths, Chapter 9, Practical Geometry, Exercise 10.1**

**Class 7, Maths, Chapter 9, Practical Geometry, Exercise 10.2**

**Class 7, Maths, Chapter 9, Practical Geometry, Exercise 10.3**

**Class 7, Maths, Chapter 9, Practical Geometry, Exercise 10.4**

**Class 7, Maths, Chapter 9, Practical Geometry, Exercise 10.5** **← You are here**