ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Objective Type Questions

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 13 Practical Geometry Objective Type Questions

Higher Order Thinking Skills (HOTS)

Question 1.
Construct a triangle ABC such that BC = 5.2 cm, AB = 4.8 cm and median CM = 3.6 cm.
Solution:
Steps of construction:

1. Draw a line segment BC = 5.2 cm.
2. With centre B and radius \(\frac { 4.8 }{ 2 }\) = 2.4 cm and with centre C and radius 3.6 cm,
   draw arcs intersecting each other at E.
3. Join CE and BE.
4. Produce BE to A such that EA = BE = 2.4 cm.
5. Join AC.
   ∆ABC is the required triangle.
   1. 

Question 2.
Construct an isosceles right-angled triangle ABC such that its hypotenuse BC = 6 cm.
Solution:
Steps of construction:

1. Draw a line segment BC = 6 cm.
2. Bisect BC at O.
3. With centre O and BC as diameter draw the same circle.
4. At O, draw a perpendicular which meets the semicircle at A.
5. Join AB and AC.
   ∆ABC is the required triangle.

Note: Angle in a semicircle is 90°.
So, ∠A = 90° and AB = AC.

ML Aggarwal Class 7 Solutions for ICSE Maths