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.

**Examples of Properties of Triangle**

**Worksheet on Properties of 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** **From To Construct a Triangle when Two of its Angles and the included Side are given to HOME PAGE**

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