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mckenzieandjesus
 one year ago
Find the area of the equilateral triangle.
4m square root ft2
12 squart root ft2
2 square root ft2
6mc0534.jpg ft2
mckenzieandjesus
 one year ago
Find the area of the equilateral triangle. 4m square root ft2 12 squart root ft2 2 square root ft2 6mc0534.jpg ft2

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mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0oops here Find the area of the equilateral triangle. 4 square root 3 ft2 12 square root 3 ft2 2 square root 3 ft2 6 square root 3 ft2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3I'm guessing that point is the circumcenter and the length of 4 is the circumradius.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1435281664406:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3draw in the other circumradii dw:1435281712679:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3each central angle is 360/3 = 120 degrees dw:1435281776974:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3and since we have an isosceles triangle dw:1435281812412:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3we know that these angles here dw:1435281843370:dw are 30 degrees each (solve x+x+120 = 180 for x to get x = 30)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0are you deriving the formula for the length of the side?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3break up the triangle into two pieces we will have a 306090 triangle dw:1435281907823:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3I'm showing how to find the length of each side. Then we can use the formula \[\Large A = \frac{\sqrt{3}}{4}s^2\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3it's the length of each side of the equilateral triangle dw:1435281897863:dw

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0oh ok. so square root 3/4*4^2?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3s = 4 is false

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3all of these drawings are building up to find s

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1435282026879:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1435282090401:dw what are x and y?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3have a look at this page http://www.regentsprep.org/regents/math/algtrig/att2/ltri30.htm

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3notice how the short leg (opposite the 30 degree angle) is half of the hypotenuse

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3close dw:1435282277842:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3long leg = sqrt(3) times (short leg)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3the long leg is exactly half of s so that's why s = 2*(2*sqrt(3)) = 4*sqrt(3)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3dw:1435282367672:dw

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0So the answer is 4 square root 3 then. Not 12 square root 3

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3\[\Large s = 4\sqrt{3}\] dw:1435282458289:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3they want the area, NOT the side length

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.3plug that s value into the area formula \[\Large A = \frac{\sqrt{3}}{4}s^2\]

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1The triangle is divided into 3 congruent triangles.

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Consider one of the triangles.

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0so \[A = \frac{ \sqrt{3} }{ 4? } * S ^{2}\]

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0oops ment to put 4 square root 3 for s

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0So would I put 4 square root 3 for s?

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1The area of that triangle is 1/2 base x height or \[\frac{1}{2}\times 4\sqrt{3}\times 2=4\sqrt{3}\]

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1Since there are three of those triangles, multiply that answer by 3

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0oh okay i added and got 12 square root 3

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0I guess it works either way lol thanku

Mertsj
 one year ago
Best ResponseYou've already chosen the best response.1And that is the answer.

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0Is the formula of a rectangle A=bh?

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0or is it A= 1/2 bh?
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