Ex.10.3 Q2 Practical Geometry Solution- NCERT Maths Class 7

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Question

Construct an isosceles triangle in which the lengths of each of its equal sides is \(6.5\,\rm{ cm}\) and the angle between them is \(110^\circ\)

 Video Solution
Practical Geometry
Ex 10.3 | Question 2

Text Solution

What is known?

Lengths of each of its equal sides is \(6.5\,\rm{ cm}\) and the angle between them is \(110^\circ.\)

To construct:

An isosceles triangle in which the lengths of each of its equal sides is \(6.5\,\rm{ cm}\) and the angle between them is \(110^\circ.\) 

Reasoning:

To construct an isosceles triangle in which the lengths of each of its equal sides is \(6.5\,\rm{ cm}\) and the angle between them is \(110^\circ,\)  follow the steps given below.

Steps:

Steps of construction :

  1. Draw a line segment \(QR\) of length \(6.5\,\rm{cm}.\)
  2. At \(Q,\) draw \(QX\) making an angle of \(110^\circ\) with \(QR.\)
  3. With \(Q\) as centre, draw an arc of radius \(6.5\,\rm{cm}.\) It cuts \(QX\) at the point \(P.\)
  4. Join \(PR\). Triangle \(PQR\) is the required isosceles triangle.
  
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