Question

Find the area of the equilateral triangle whose sides are 4 yd.

Answer 1

The first one. 4 times square root of 3.

Explanation:

The side of the equilateral triangle that represents the height of the triangle will have a length of because it will be opposite the 60o angle. To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.

Answer 2

Remember:

Triangle area=
`(b*h)/(2)`

h of equilateral triangle =
`(√(3))/(2)*a`

Explanation:

b=4yd

a=4yd

h =
`(√(3))/(2)*a`

h =
`(√(3))/(2)*4yd`

4/2=2

h=
`2√(3) yd`

area=
`(b*h)/(2)`

area=
`(4 yd*2√(3) yd)/(2)`

2/2=1

Finally

area=
`4√(3) yd^2`