Can you please help me the apothem is 17
2007-04-03 17:06:06 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
I already know the formula but i can't figure out the perimeter
2007-04-03 17:12:08 · update #1
I already tried to do this problem and for the peremiter i got some weird number and it was wrong and i m trying to do corrections and i can't figure it out
2007-04-03 17:15:58 · update #2
I'm not quite sure what an apothem is, but according to Merriam-Webster, it sounds like the height. If this is the case, split the triangle into two 90 degree triangles.
The ratio of the base to height to hypotenuse for a 30-60-90 right triangle is x : x * sqrt 3 : 2x. Thus, if the apothem is the height, then your base must be roughly 9.8 (x = 17/sqrt3). Find the area of that triangle, and multiply by two.
2007-04-03 17:16:37 · answer #1 · answered by cute_lil_jap 1 · 0⤊ 0⤋
Area = (semi-perimeter)(apothem) / 2
The apothem forms a 30-60-90 triangle, where the apothem is adjacent to the 60 degree angle. Half a side of the equilateral triangle is equal to 17 tan 60, or 17 sqrt 3. Thus a whole side would equal 34 sqrt 3.
The perimeter is 102 sqrt 3, and thus the semi-perimeter is 51 sqrt 3.
The area is therefore 433.5 * sqrt 3.
2007-04-04 00:17:58 · answer #2 · answered by MathSage 2 · 0⤊ 0⤋
The base is the length of a side. The height is sâ3 /2 so
A=s^2â3 /4
p=3s
I don't know what you mean by "apothem"
If you know the area,
s=â(A*4/â3)=2â(A/â3)
2007-04-04 00:18:05 · answer #3 · answered by yupchagee 7 · 0⤊ 0⤋
Hi. It is the distance from the midpoint of any side to it's opposite apex. This will equal the height of the side opposite the 60 degree angle. Can you figure it from here?
2007-04-04 00:10:06 · answer #4 · answered by Cirric 7 · 0⤊ 0⤋
Same as for any triangle. 1/2 base * height.
2007-04-04 00:08:36 · answer #5 · answered by doctor risk 3 · 0⤊ 0⤋