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** **From To Construct a Triangle whose Three Sides are given to HOME PAGE**

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