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

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Mohammed

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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

103 14

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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.

Previous Question Next Question Question :

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

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

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Mohammed 1 month ago

Guys, does anyone know the answer?