Question

An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.

Give your answer rounded to 1 DP.

Answer 1

4√3cm^2

Explanation:

we know that the area of equilateral triangle is √3/4a^2

Answer 2

Rounded to 1 decimal place, the area is approximately 6.9
`cm^2`.

The area (A) of an equilateral triangle can be calculated using the formula:

`A= (√(3) )/(4 ) * side^2`

In this case, the side length is 4 cm. Plug in this value into the formula:

`A= (√(3) )/(4 ) * 4^2`

`A= (√(3) )/(4 ) * 16`

`A= (√(3 )* 16 )/(4 )`

`A= (16√(3) )/(4)`

`A= 4√(3)`

Now, you can approximate the value:

`A= 4 * 1.732\\\\A= 6.928 cm^2`

Rounded to 1 decimal place, the area is approximately 6.9
`cm^2`.