Altitude of Triangle

IMPORTANT

Altitude of Triangle: Overview

This topic explains concepts such as Altitude of Triangles, Basic Properties of Altitudes of Triangles, Orthocentre of the Triangle, Constructing Altitudes of a Triangle, etc.

Important Questions on Altitude of Triangle

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A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is?

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In ABC, A<B, the altitude to the base divides vertex angle C into two parts C1 and C2 adjacent to BC, then which one of the relation can be obtained?

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In triangle PQR,PS is the altitude to QR. Which of the following must be true?

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The point "H" in the given triangle ABC is
If H is the orthocentre of Δ ABC, then the orthocentre

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Orthocentre is a

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The point of intersection of the altitudes of a triangle is

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The number of altitudes of a triangle is

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Explain about the altitude of a triangle.

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The orthocenter of a right-angled triangle is formed

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The orthocentre of an acute angled triangle is

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The orthocentre of an obtuse angled triangle is

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The orthocentre of a triangle is determined by

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Derive the formula for altitude of an isosceles triangle.

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Define altitude of a triangle. Write its properties.

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Question Image 

In the above figure, AD, BE and CF are the altitudes of the ABC and they meet at the point O. Therefore, O is 

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Incentre of a triangle is defined as the point where the three altitudes of a triangle meet.

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_____ of a triangle is defined as the point where the three altitudes of a triangle meet.

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Define orthocentre of a triangle.

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The _____ triangle has its all the medians and altitudes of same length.

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Number of points where the three heights (altitudes) of a triangle meet each other.