To Construct a Triangle when Two of its Angles and the included Side are given



To construct a triangle when two of its angles and the included side are given, let’s follow the examples.



1. Draw a ∆ LMN in which ∠M = 50° and N = 60° and side MN = 5 cm.

Steps of Construction:

(i) Draw a line segment MN = 5 cm.

(ii) Make ∠ XMN = 50°

(iii) Make ∠ YNM = 60°

(iv) Let XM and YN intersect at L.




Then ∆ LMN is the required triangle.



2. Draw a ∆ MNO in which ∠M = 70° and N = 60° and side MN = 7 cm.

Steps of Construction:

(i) Draw a line segment MN = 7 cm.

(ii) Make ∠ AMN = 70°

(iii) Make ∠ BNM = 60°

(iv) Let AM and BN intersect at O.




Then ∆ OMN is the required triangle.



Triangle.

  • Classification of Triangle.
  • Properties of Triangle.
  • Worksheet on Triangle.
  • To Construct a Triangle whose Three Sides are given.
  • To Construct a Triangle when Two of its Sides and the
       included Angles are given.

  • To Construct a Triangle when Two of its Angles and the
       included Side are given.

  • To Construct a Right Triangle when its Hypotenuse and One
       Side are given.

  • Worksheet on Construction of Triangles.




  • 5th Grade Geometry Page

    5th Grade Math Problems

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