Find the altitude of an equilateral triangle of side 9 cm.
Answers
We know that equilateral triangles have the property of, when divided across from its top vertex to its base, bisects each angle and segment it touches(as is true for any triangle which has equal opposite sides).
》Therefore, this means that the two triangles formed due to the bisection, are 30–60–90 triangles.
》They contain a ratio of x/sqrt3:x:2xx/sqrt3:x:2x.
The longer side is x*sqrt(3), the shorter leg is x, and the hypotenuse is 2x.
》This means that the 9 = x* sqrt(3), so then x = 9/sqrt(3). Evaluating the conjugate leads to x being equaled to 3*sqrt(3).
》Multiply this value by two to get the hypotenuse(6*sqrt(3)) and then multiply that value by three to get the perimeter.
》So to answer your question, the perimeter is 18*sqrt(3) and each side is length 6* sqrt(3).
Hope it helps u...
Do mark as brainlist..