If you divide the equilateral triangle into two right angle triangles then the hypotenuse will be 12 feet.
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To find the hypotenuse, add 12 squared plus 12 squared. Then take the square root of that product which is 16.9705627.
Use the sine ratio: sine 30 degrees = opposite/hypotenuse Then: opposite = 2*sine 30 degrees Answer: 1 foot
The dimensions given are a classic example of Pythagoras' Theorem for finding the lengths of the three sides of a right angled triangle: 52 = 42+32 So the answer your looking for is that the shorter leg is 3 feet long.
Use the Pythagorean Theorem: a^2 + b^2 = c^2 where c is the longest side (hypotenuse) of the right triangle. So a = 12 b = 12 (12)^2 + (12)^2 = c^2 144 + 144 = c^2 288 = c^2 *Take the square root of both sides sqrt(288) = c 16.97056... = c After rounding to the nearest foot, you find that c ~= 17ft
8 feet x 3 sides = 24 foot perimeter.