Altitude of a Triangle

IMPORTANT

Altitude of a Triangle: Overview

This Topic covers sub-topics such as Altitude of Triangles, Altitudes and Medians in Equilateral Triangles and, Basic Properties of Altitudes of Triangles

Important Questions on Altitude of a Triangle

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IMPORTANT

Name the orthocentre of PQR.

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Identify the type of segment required in the below triangle:

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AD=

MEDIUM
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Median and altitude of an equilateral triangle coincide.

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

HARD
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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.

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

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

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Every triangle has 4 altitudes, one from each vertex.

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

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

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

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What will you construct to find the axis of symmetry of an equilateral triangle ABC?

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A perpendicular drawn from a vertex to the opposite side of a triangle is known as

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In right triangle ABC, what is the length of altitude drawn from the vertex A to BC?

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In the triangle ABC,

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The altitude is _____ .

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

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

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

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The altitudes of a triangle intersect at _____.