if the perimeter of an equilateral is 24 cm then find its height and area
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In equilateral triangle 3 sides are equal
so perimeter is =24
then 24/3 =8
as 3 sides are equal..
each side is =8
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Answer:
Step-by-step explanation:
Let the side of the equilateral triangle be #
Perimeter =24
3#=24
#=24/3
#=8cm
In equilateral triangle draw a perpendicular on any side
Then side will be 1/2
So by Pythagoras theorem
4²+H²=8²
16+H²=64
H²=64-16
H²=48
H=2root12
Area of equilateral triangle =root3/4×8²
=root3/4×64
=root3×16
=16root3
Or
Area of equilateral triangle =1/2×B×H
=1/2×4×2root12
=4root12
=16root3
Plz refer to fig. For more clear
And also mark as brainliest if you understand
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