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 altitudes from $P$ to $Q R$ for the following triangles. Also, draw altitudes from the other two vertices.( you can use a set squares if needed)

Accepted Answer

Given three triangles, one obtuse-angled, one acute-angled and one right-angled triangle.
We know that the perpendicular line segment from a vertex of a triangle to its opposite side is called the altitude of the triangle.
We need to draw the altitudes from the three vertices of each triangle.
Let us first consider the obtuse angled triangle $△ P Q R$ .

As $△ P Q R$ is an obtuse angled triangle, one of its altitude will be outside the triangle.
Let us draw the altitudes with dotted lines.
The altitudes will be as follows.

The altitudes of this triangle are $P S, Q S$ and $O R$ .

Now let us consider the right-angled triangle $△ P Q R$

As $△ P Q R$ is a right-angled triangle, two altitudes of this triangle will be its own sides.
Let us draw the altitudes with dotted lines.
The altitudes will be as follows.

The altitudes of this triangle are $P Q, Q R$ and $O Q$ .

Now let us consider the acute-angled triangle $△ P Q R$ .

For an acute-angled triangle, all the altitudes lies in the interior of the triangle.
Let us draw the altitudes with dotted lines.

The altitudes will be as follows.

The altitudes of this triangle are $P T, Q U$ and $R S$ .

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