Question

What are the steps to draw a triangle ABC with AB = 6cm, BC = 8 cm and AC = 4 cm?

Answer 1

Hint: We know that a triangle is a two-dimensional closed figure with 3 sides, 3 angles, 3 edges and 3 vertices. We are given the sides of the triangle i.e. AB = 6cm, BC = 8cm and AC = 4cm. And then using this given information, we use the steps to construct the triangle. Thus, we will get the required triangle which is our final output.

Complete step-by-step answer:
Given that,
AB=6 cm
BC=8 cm
AC=4 cm
Follow these steps of construction:
(i) Draw a line AB of length 6 cm
(ii) Using compasses, take B as the centre, and draw an arc of 8 cm radius.
(iii) Now join AC.
(iv) Draw another arc of 4 cm radius taking A as the centre which bisects the previous arc at point C.
(v) Then join BC.
Thus the obtained triangle ABC is the required triangle with the given measures.
The following triangle is formed as below:

Hence, the required triangle ABC is constructed with AB = 6cm, BC = 8cm and AC = 4cm.

Note: A triangle is a polygon with three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called the angle sum property of a triangle. A triangle is denoted by ∆.
1) On the basis of the length of the sides, triangles are classified into three categories: Scalene Triangle, Isosceles Triangle and Equilateral Triangle.
2) On the basis of measurement of the angles, triangles are classified into three categories: Acute Angle Triangle, Right Angle Triangle and Obtuse Angle Triangle.