Name: Understanding Different Types of Triangles
Uploaded: 2019-07-19
Duration: 4 min 56 s
Description: The topic of Triangles is the most important in Geometry. In this video, let us learn all about the four types of triangles: right-angled, equilateral, isosceles, and scalene triangles.

Question

Draw an equilateral triangle with all sides equal to

7 c m

. Find its centroid, orthocentre and circumcentre. What do you conclude?

Accepted Answer

Given,

To construct an equilateral triangle $A B C$ of side $7 cm$ .

Steps for construction of the triangle $A B C$ :

Draw a line segment $AB = 7 cm$

With $A$ as centre and radius $7 cm$ , draw an arc above $A B$

With $B$ as centre and radius $7 cm$ , draw another arc cutting the previous arc at $C .$

Join $A C$ and $B C .$

Then $△ A B C$ is required triangle.

The measure of its angles will always remain same i.e. $60 °$ if the length of its side is changed.

Now we have to draw the centroid, orthocentre and circumcentre.

The equilateral triangle with circumcentre C, incentre I, centroid G and orthocentre O is shown below

In Equilateral triangle all the centres, that is circumcentre C, incentre I, centroid G and orthocentre O lie on the same spot.

Draw an equilateral triangle with all sides equal to $7 c m$ . Find its centroid, orthocentre and circumcentre. What do you conclude?

Important Questions on Triangles and Its Construction

Learn and Prepare for any exam you want !

Draw an equilateral triangle with all sides equal to 7 cm. Find its centroid, orthocentre and circumcentre. What do you conclude?

Important Questions on Triangles and Its Construction

Learn and Prepare for any exam you want !

Draw an equilateral triangle with all sides equal to $7 c m$ . Find its centroid, orthocentre and circumcentre. What do you conclude?