# 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.

Examples of 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.