The side length of an equilateral triangle is 6 cm. What is the height of the triangle? StartFraction 3 Over StartRoot 3 EndRoot EndFraction cm StartFraction 6 Over StartRoot 3 EndRoot EndFraction cm 3 StartRoot 3 EndRoot cm 6 StartRoot 3 EndRoot cm

Respuesta :

Answer:

C: 3 root 3

Step-by-step explanation:

got it right on edge

The height of the given triangle is 3[tex]\sqrt{3}[/tex] cm.

What is equilateral triangle ?

If all three sides of a triangle are equal and also all three angles are equal & value of the angles are 60° each, then the triangle is called equilateral triangle.

What is the formula of height of equilateral triangle ?

Let, a be a side of the triangle,

Then, Height(h) = a[tex]\frac{\sqrt{3} }{2}[/tex] unit

What is the required height ?

Given, Side length of the triangle = 6 cm

Height of the triangle = (6×[tex]\frac{\sqrt{3} }{2}[/tex]) cm

                                       = 3[tex]\sqrt{3}[/tex] cm

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