Answered

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Sagot :

armandoalturas

Answer:

[tex] \sqrt[2]{3} [/tex]

[tex] \sqrt[4]{3} [/tex]

Step-by-step explanation:

A garden is in a shape of an equilateral triangle with side 4 ft.

The objective is to find the area of the garden.

The formula to find the area of the triangle is, A= 1/2• b • h

Here, b represents the side of the triangle and h represents and h represents the height of the triangle.

The height of an equilateral triangle can be calculated by,

H = /3/2 • b

= /3/2 • 4

=

[tex] \sqrt[2]{3} [/tex]

Now substitute the value of b and h in the formula of area of triangle.

A = 1/2 • 4 •

[tex] \sqrt[2]{3} [/tex]

=

[tex] \sqrt[4]{3} [/tex]

ft²

View image armandoalturas
mhanifa

Answer:

  • 4 and [tex]2\sqrt{3}[/tex]

Step-by-step explanation:

Base of the triangle is:

  • b = 4

Height of the triangle:

  • h = [tex]\sqrt{4^2 - (4/2)^2}[/tex] = [tex]\sqrt{16 - 4}[/tex] = [tex]\sqrt{12}[/tex] = [tex]2\sqrt{3}[/tex]

Area is:

  • A = 1/2* 4* [tex]2\sqrt{3}[/tex]
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