NCERT Solutions For Class 7 Maths Chapter 10 Practical Geometry Exercise 10.5

Class 7, Maths, Chapter 10, Exercise 10.5 Solutions

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

Ans:

NCERT Solutions For Class 7 Maths Chapter 10 Practical Geometry Exercise 10.5 Q.1

Steps of construction:

  1. Draw a line segment QR = 8 cm.
  2. At point Q, draw an angle of 90oi.e. ∠XQR = 90o.
  3. With R as a center and radius 10 cm, draw an arc that cuts the ray XQ at P.
  4. 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:

NCERT Solutions For Class 7 Maths Chapter 10 Practical Geometry Exercise 10.5 Q.2

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

Then, ΔABC is the required right angled triangle.

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

Ans:

Steps of construction:

NCERT Solutions For Class 7 Maths Chapter 10 Practical Geometry Exercise 10.5 Q.3

  1. Draw a line segment BC = 6 cm.
  2. At point C, draw an angle of 90oi.e. ∠XCB = 90o.
  3. With C as a center and radius 6 cm, draw an arc that cuts CX at A.
  4. Join AB.

Then, ΔABC is the required right angled triangle.

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