The formula for the height,h, of an equilateral triangle is h= √3/2s, where s is the length of the following
A.In terms of the length of a side,s, only
B. In terms of the height,h only
You must not want help for this problem since you have ignored the answer you've already received.
You do not say what the question is. When Steve answered he guessed you wanted the area of the triangle, and that seems a reasonable assumption. However you posted this question twice with no question.
sorry guys i ended up pressing submit on accident. the question was asking to write a formula for the area of an equilateral triangle in terms of the following: Write a formula for the area of an equilateral triangle in terms of the following:
A.in terms of the length of a side,s, only
B. in terms of the height, h only.
I am having a hard time with this question, as I recall is the area for a triangle when only given side and height is sh/2?
from right triangle of hypotenuse s and leg s/2 you get
h = (s/2)sqrt 3 so s/2 = h/sqrt3
then
area = A = (s/2)(s/2)sqrt 3 = (s^2/4)sqrt 3
and A = (s/2)h = (h/sqrt 3)h =h^2 /sqrt 3
A. To find the formula for the length of a side, s, in terms of the height, h, you can rearrange the given formula.
Starting with the formula for the height of an equilateral triangle:
h = (√3/2) * s
To find the formula for the length of a side, s, we need to isolate s on one side of the equation.
First, multiply both sides of the equation by 2/√3:
(2/√3) * h = s
Therefore, the formula for the length of a side, s, in terms of the height, h, is:
s = (2/√3) * h
B. To find the formula for the height, h, in terms of the length of a side, s, you can rearrange the given formula.
Starting with the formula for the height of an equilateral triangle:
h = (√3/2) * s
To find the formula for the height, h, we need to isolate h on one side of the equation.
First, divide both sides of the equation by (√3/2):
h / (√3/2) = s
To simplify the equation, multiply both sides by 2/√3:
h * (2/√3) = s
Therefore, the formula for the height, h, in terms of the length of a side, s, is:
h = s * (2/√3)