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Find the length of height of an equilateral triangle of side 24 em Take by V3 - 173​

Answer 1

Answer:

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

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Solution

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Let us assume that the height of an equilateral triangle be h cm.

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

Step-by-step explanation:

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Answer 2

Answer:

Let us assume that the height of an equilateral triangle be h cm.

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

Step-by-step explanation:

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