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.
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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
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