*According to the latest CBSE Syllabus 2023-24, this chapter has been removed.

The NCERT Solutions for Class 7 Maths Exercise 10.5 Chapter 10 Practical Geometry in simple PDF are given here. Constructing a Right-Angled Triangle When the Length of One Leg and Its Hypotenuse are given (RHS Criterion) is the only topic covered in this exercise of the NCERT Solutions for Class 7 Maths Chapter 10. To help students with their exam preparation to achieve good marks in Maths, students are advised to try solving the problems from the NCERT Solutions for Class 7 Maths, Chapter 10 Practical Geometry. Then refer to these solutions to know the best way of approaching the different questions.

NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry – Exercise 10.5

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Access Other Exercises of NCERT Solutions for Class 7 Maths Chapter 10 – Practical Geometry

Exercise 10.1 Solutions

Exercise 10.2 Solutions

Exercise 10.3 Solutions

Exercise 10.4 Solutions

Access Answers to NCERT Class 7 Maths Chapter 10 – Practical Geometry Exercise 10.5

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

Solution:-

Steps of construction

1. Draw a line segment QR = 8 cm.

2. At point Q, draw a ray QY to make an angle of 90^o, i.e., ∠YQR = 90^o.

3. With R as a centre and radius of 10 cm, draw an arc that cuts the ray QY at P.

4. Join PR.

Then, ΔPQR is the required right-angled triangle.

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

Solution:-

Let us consider ΔABC is a right-angled triangle at ∠B = 90^o

Then,

AC is hypotenuse = 6 cm … [given in the question]

BC = 4 cm

Now, we have to construct the right-angled triangle by the above values.

Steps of construction

1. Draw a line segment BC = 4 cm.

2. At point B, draw a ray BX to make an angle of 90^o, i.e., ∠XBC = 90^o.

3. With C as a centre and radius of 6 cm, draw an arc that cuts the ray BX at A.

4. Join AC.

Then, ΔABC is the required right-angled triangle.

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

Solution:-

Steps of construction

1. Draw a line segment BC = 6 cm.

2. At point C, draw a ray CX to make an angle of 90^o, i.e., ∠XCB = 90^o.

3. With C as a centre and radius of 6 cm, draw an arc that cuts the ray CX at A.

4. Join AB.

Then, ΔABC is the required right-angled triangle.

Also, explore – 

NCERT Solutions for Class 7 Maths

NCERT Solutions for Class 7 

NCERT Solutions