Ex.10.4 Q1 Practical Geometry Solution- NCERT Maths Class 7

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Question

Construct \(ΔABC\), given \(m∠A = 60^\circ\), \(m∠B = 30^\circ \) and \(AB = 5.8\,\rm{ cm}\).

Text Solution

What is known?

Length of side of a \(ΔABC\), \(AB = 5.8\,\rm{ cm}\)  and  \(∠A = 60^\circ\), \(∠B = 30^\circ \).

To construct:

A triangle \(ΔABC\), given \(∠A = 60^\circ\), \(∠B = 30^\circ \) and \(AB = 5.8\,\rm{ cm}\).

Reasoning:

To Construct a \(ΔABC\) such that \(∠A = 60^\circ, ∠B = 30^\circ\) and \(AB = 5.8 \,\rm{cm}\)., follow the steps given below.

Steps:

Steps of construction:

  1. Draw a line segment \(AB\) of length \(5.8\,\rm{ cm}.\)
  2. At \(A\), draw ray \(AY\) making \(60^\circ\) with \(AB\).
  3. At \(B\), draw ray \(BX\) making \(30^\circ\) with \(AB\).
  4. Rays \(BX\) and \(AY\) will intersect at point \(C\).

Triangle \(ABC\) is now completed.

  
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