# in an equilateral triangle of side 24 cm find the length of the altitude

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## Find the height of an equilateral triangle of side 24 cm.

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Question

## Find the height of an equilateral triangle of side 24cm.

Let us assume that the height of an equilateral triangle be h cm.Medium Open in App Solution Verified by Toppr Then,

Area of the triangle =

2 1 ×base×height =( 2 1 ×24×h)cm 2

Let the side of the equilateral triangle be a cm

Area of the equilateral triangle =

4 3 ×(a) 2 sq.Units = 4 3 ×24×24 =( 3 ×144)cm 2 ∴( 2 1 ×24×h)=( 3 ×144) =12h=( 3 ×144) =h= 12 3 ×144 =h=( 3 ×12) =h=1.73×12 =h=20.76cm

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## In an equilateral triangle of side 24 cm, find the length of the altitude.

In an equilateral triangle of side 24 cm, find the length of the altitude.

## In an equilateral triangle of side 24 cm, find the length of the altitude.

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## In an equilateral triangle of side 24 cm find the length of the a

In an equilateral triangle of side 24 cm find the length of the altitude.

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## In an equilateral triangle of side 24 cm find the length of the altitude.

Answer :

## Let ΔABC be an equilateral triangle of side 24 cm and AD is altitude which is also a perpendicular bisector of side BC.

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Find the length of a altitude in on equilateral triangle of side 'a' cm

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