Draw an equilateral triangle FGH so that FH is the horizontal base. Draw a vertical line GR from G to line FH to represent the height of the triangle.
Let a = length of a side of the equilateral triangle (all sides are equal).
Each angle is 60° because the three angles add up to 180°.
Let h = GR, the height of the triangle.
Because the triangle is equilateral, triangle FGR is a right triangle, with
m∠F = 60° ,
m∠R = 90°,
FG = a.
By definition,
sin(F) = h/a
That is,
h = a*sin(F) = a*sin(60) = a*(√3/2).
Answer:
The height of the equilateral triangle is (a/2)√3,
where a = length of a side of the triangle.
Answer: 1
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Explanation:
The keyboard and screen can be thought of as flat rigid sheets of paper. They are joined along one single line which is where the hinge is located. Any two planes intersecting will form a single straight line assuming these planes are not parallel to one another.
Answer: 346.4
Step-by-step explanation:
The whole triangle ABD is a 30-60-90 right triangle. In 30-60-90 triangles, the smallest side is x, the middle side is x
, and the largest side/hypotenuse is 2x.
Side AB is the smallest side and therefore x=300. Side BD is the middle side and so we can use x
and we get BD=300
=519.615
The question is asking for CD, and we know that CD can be equal to BD minus BC since that would isolate CD
Triangle ABC is also a 30-60-90 triangle but the 300 feet is the middle side in this triangle. So we can do 300=x
and divide 300 by radical 3 and get that x=173.205
Side BC is the smallest side of this triangle so it would be x and x is 173.205.
Now that we have the whole side BD and the part of it BC. We can subtract BD by BC (519.615-173.205) and we get that CD=346.4