The most appropriate choice for equilateral triangle will be given by
Value of x =
What is equilateral triangle?
A closed two dimensional figure with three sides and three angles is called triangle.
Based on sides of triangle, triangle can be classified as equilateral, isosceles and scalene
The triangle whose all sides and all angles are equal is called equilateral triangle. All the angles of equilateral triangle are 60°
Here,
Since the triangle is equilateral, angle of triangle is 60°
sin 60° =
=
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For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply:
In this case, the slope of the orange line is and that of the blue line is
Then , it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
See attached image
Option D
Answer:
x=0,-7
Step-by-step explanation: