Name: The Altitude of a Triangle
Uploaded: 2019-07-19
Duration: 2 min 45 s
Description: The orthocentre is made by intersecting the altitudes drawn from all the vertices to the triangle's opposite sides. But what is altitude? Watch this video to...

Question

Construct a right angle triangle and find its orthocentre.

Accepted Answer

Steps of construction:

$1$ . Draw line $B C$ .

$2$ . With $C$ as centre, draw $A L ⊥ B C$ . $A C$ is altitude. Join $A B$

Thus, $△ A B C$ is a right angled triangle.

$3$ . With $C$ as centre, draw $B M ⊥ A L$ . $B C$ is altitude.

$4$ . With $C$ as centre, draw $C N ⊥ A B$ . $C N$ is altitude.

$5$ . $C$ is orthocentre of the right-angled triangle.

Construction:

Altitude of a triangle is the perpendicular distance drawn from a vertex of the triangle to its opposite side. Altitude of a triangle is the shortest distance from the vertex to its opposite side.

It can be both outside or inside the triangle depending on the type of the triangle.

So, altitudes of the triangle meet at one point called orthocentre.
Hence, point $C$ is orthocentre of the right-angled triangle.

Construct a right angle triangle and find its orthocentre.

Important Questions on Properties of a Triangle

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