Question

the area of an equilateral triangle is A=a^2sqr3/4?

Answer 1

yes..so

Answer 2

sqroot3
------- * a^2 where a is the length of the side of the equilateral triangle
4

Answer 3

side^2 sin(60)
------------
2

Answer 4

the height of a triangle can be determined by the:

side*sin(base angle) ; and the base of an equi tri is the same as a side so...

side * (height)
------------ is the usual area of a tri
2

Answer 5

@amistre
your formula involves knowledge of trignometric values

but the above formula is the general one where u need not know trig !!

both are equally valid though......

Answer 6

thats right; the non trig is derived from the trig; since sin(60)=sqrt(3)/2 :)

Answer 7

actually it is normally derived by dropping a perpenidular to divide the base into a/2 and then using Pythagoras Theorem to calculate the height ....

Answer 8

it is used in lower classes when trigonometry has not been tatught yet....

Answer 9

*taught

Answer 10

well, for an equi yes; but for non equi tris it becomes the general formula:

area tri ABC; BC * BA * sin(B)/2

Answer 11

in my opinion; its good to know that there is no need to memorize and "equi tri" area formula, that it is really just part of the whole shebang