Respuesta :
altitude=√3a/2=12(a the side of the equilateral triangle)
a=24/√3=8√3cm
perimetre=3a=3*8√3=24√3cm
a=24/√3=8√3cm
perimetre=3a=3*8√3=24√3cm
The perimeter is the sum of the exterior sides of a shape. The exact perimeter of the triangle with an altitude of 12cm is 24√3cm
How to find the perimeter of a triangle?
The perimeter is the sum of the exterior sides of a shape.
The formula for calculating the altitude of an equilateral is given as:
A = √3a/2
Since A = 12cm, hence:
12 = √3a/2
√3a = 24
a = 8√3 cm
Determine the required perimeter
Perimeter of the triangle = 3(8√3)
Perimeter of the triangle = 24√3cm
Hence the exact perimeter of the triangle with an altitude of 12cm is 24√3cm
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