Respuesta :
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
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]