Respuesta :

Answer:

5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

semsee45

Answer:

5.20 ft (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{Height of an equilateral triangle}=\dfrac12(\sqrt{3}x)\quad \textsf{(where}\:x\:\textsf{is the side length)}[/tex]

Given:

  • [tex]x[/tex] = 6 ft

[tex]\begin{aligned}\implies \textsf{Height} & =\dfrac12(6\sqrt{3})\\ & =3\sqrt{3}\\ & =5.20\: \sf ft \: \textsf{(nearest hundredth)}\end{aligned}[/tex]

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