Find the missing side length of the triangle.
2 answers:
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Answer:
Step-by-step explanation:
we know that
If the triangle of the figure is a regular polygon
then
Is an equilateral triangle
Remember that
The equilateral triangle has three equal sides and three equal interior angles
The measure of each interior angle is 60 degrees
To find the area of the equilateral triangle apply the law of sines
we have that
substitute
Given:
The equation is
To find:
The number of roots and discriminant of the given equation.
Solution:
We have,
The highest degree of given equation is 2. So, the number of roots is also 2.
It can be written as
Here, .
Discriminant of the given equation is
Since discriminant is , which is greater than 0, therefore, the given equation has two distinct real roots.