Respuesta :

If we  draw a perpendicular line from one of the vertices of the triangle we get  2 right angled triangles  each with  altitude 9 ins  and vertex angle = 30 degrees.   So:-

cos 30 = 9 /h     where h = one of the sides of the equilateral triangle

h =  9 / cos 30  =  10.392 inches

Therefore the perimeter of the triangle = 3 * 10.392 =  31.1769 ins

Answer is 31.18 inches to the nearest hundredth.
shubhamchouhanvrVT

The perimeter of the triangle will be 31.18 inches.

what is perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape.

If we  draw a perpendicular line from one of the vertices of the triangle we get  2 right angled triangles  each with  altitude 9 ins  and vertex angle = 30 degrees.   So:-

[tex]Cos 30 =\dfrac{ 9} {h}[/tex]    

where h = one of the sides of the equilateral triangle

[tex]h = \dfrac{9 }{ cos 30} = 10.392 \ inches[/tex]

Therefore the perimeter of the triangle =

[tex]3 \times 10.392 = 31.1769 \ inches[/tex]

Answer is 31.18 inches to the nearest hundredth.

To know more about perimeter follow'

https://brainly.com/question/397857

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