To construct a triangle when two of its sides and the included angles are given, let’s follow the examples.
1. Draw a triangle ABC in which AB = 5 cm, BC= 7 cm, and ∠B = 75°.
Steps of Construction:
(i) Draw a line segment AB = 5 cm.
(ii) Make ∠ ABC = 75°.
(iii) Cut of BC = 7 cm.
(iv) Join AC.
Therefore, ∆ ABC is the required triangle.
2. Draw a triangle ABC in which AB = 4.5 cm, BC = 6 cm, and ∠B = 80°.
Steps of Construction:
(i) Draw a line segment AB = 4.5 cm.
(ii) Make ∠ ABC = 80°.
(iii) Cut of BC = 6 cm.
(iv) Join AC.
Therefore, ∆ ABC is the required 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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