Altitude of a Triangle

IMPORTANT

Altitude of a Triangle: Overview

This topic covers concepts such as Altitude of Triangles, Basic Properties of Altitudes of Triangles, and Altitudes and Medians in Equilateral Triangles.

Important Questions on Altitude of a Triangle

EASY
IMPORTANT

Name the orthocentre of PQR.

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EASY
IMPORTANT

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ABC is a right angled triangle. If CD=k cm then find k.

HARD
IMPORTANT

If the altitude to side AC of triangle with side AB = 20 cm, AC = 20 cm, BC = 30 cm is 7.5k cm then find k.

EASY
IMPORTANT

If the altitude of a triangle is k cm, its area is 120 cm2 and its base is 6 cm then find k.

EASY
IMPORTANT

If the altitude of an equilateral triangle when its equal sides are given as 10 cm is k3 cm then find k.

EASY
IMPORTANT

Every triangle has 4 altitudes, one from each vertex.

EASY
IMPORTANT

The orthocenter is located inside the triangle in _____ triangle. (Acute/Right) 

EASY
IMPORTANT

Given: BX is the altitude, BAX=40°. If 1=k° then find k.

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EASY
IMPORTANT

Given: AX is the altitude, CABB, C=50°. If B is k° then find k

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EASY
IMPORTANT

The perpendicular from the vertex of a triangle to the side is called _____ of the triangle.

EASY
IMPORTANT

Where does the orthocentre lie in the case of a right angled triangle?

EASY
IMPORTANT

Where does the orthocentre lie in the case of an obtuse-angled triangle?

EASY
IMPORTANT

Where does the orthocentre lie in the case of an acute-angled triangle?

EASY
IMPORTANT

The altitudes of a triangle intersect at _____.

HARD
IMPORTANT

In the equilateral triangle ABC, the three altitudes AL, BM, CN have been drawn that intersect at O.
BO=CO
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HARD
IMPORTANT

The area of a circle inscribed in an equilateral triangle is 36π sq units. The length of altitude of triangle is:

MEDIUM
IMPORTANT

Draw all three altitudes for the following triangles and explain how they are different:

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MEDIUM
IMPORTANT

G is the centroid of the equilateral ABC. If AB=10 cm, then length of the AG is :