Question

Find the length of the side and perimeter of an equilateral triangle whose height is 4 root 3 cm​

Answer 1

Step-by-step explanation:

height=4√3

height=√3/2*side

4/√3=√3/2*side

side=8/3

perimeter= 3× side

=3×8/3

=8 cm

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Answer 2

The length of the side is 8 cm.

The perimeter an equilateral triangle is 24 cm.

Step-by-step explanation:

Given : An equilateral triangle whose height is $4\sqrt{3}$ cm​.

To find : The length of the side and perimeter of an equilateral triangle ?

Solution :

The height of an equilateral triangle is  $h=\frac{a\sqrt3}{2}$.

Where, a is the side of triangle.

Substitute, $h=4\sqrt{3}\ cm$

$4\sqrt{3}=\frac{a\sqrt3}{2}$

$a=8\ cm$

The length of the side is 8 cm.

The perimeter of an equilateral triangle is $P=3a$

$P=3\times 8$

$P=24\ cm$

The perimeter an equilateral triangle is 24 cm.

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Find the length of side and perimeter of an equilateral triangle whose height is root 3 cm

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