# 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.

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.