Explanation:
See diagram below
Remember for a RIGHT triangle sin = opposite leg / hypotenuse
so for the red highlighted triangle sin 60 = 5 / x
or x = 5 / sin 60
= 5/ ( sqrt(3) / 2) = 10 / sqrt 3 = 10 sqrt (3) / 3
Answer:
triangle equilateral
the height resulting from a vertex is the median of the side opposite this vertex
the height forms a right triangle
x²=(x/2)²+5²
x²=(x²/4)+25
4x²/4 =(x²+100)/4
4x²=x²+100
4x²-x²=100
3x²=100
x²=100/3
x=V(100/3) = 10/V3 = 10V3/3
9.5m questions
12.2m answers