To Construct a Triangle whose Three Sides are given
To construct a triangle whose three sides are given; let us follow the examples.
1. Draw a triangle ABC such that BC = 4 cm, AB = 3.5 cm, AC = 4.5 cm.
[Let us draw a rough sketch of the triangle ABC. Name the vertices and show the given measures.]
Steps of Construction:
Now let’s follow these steps one by one
(i) Draw a line segment BC = 4 cm.
(ii) With B as Centre and radius 3.5 cm, draw an arc.
(iii) With C as centre and radius 4.5 cm, draw another arc cutting the previous arc at A.
(iv) Join AB and AC.
Therefore, ∆ ABC is the required triangle.
2. Draw a triangle ABC such that BC = 4.5 cm, AB = 3.5 cm, AC = 5 cm.
[Let us draw a rough sketch of the triangle ABC. Name the vertices and show the given measures.]
Steps of Construction:
Now let’s follow these steps one by one
(i) Draw a line segment BC = 4.5 cm.
(ii) With B as Centre and radius 3.5 cm, draw an arc.
(iii) With C as centre and radius 5 cm, draw another arc cutting the previous arc at A.
(iv) Join AB and AC.
Therefore, ∆ ABC 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
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