The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
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Answer:
The length of apothem of given hexagon is 8.66 cm
Step-by-step explanation:
Apothem of a polygon is given by:
Here
s is length of side
tan is trigonometric function
and n denotes number of sides
Given that the polygon is a hexagon
Putting the values in the formula
Hence,
The length of apothem of given hexagon is 8.66 cm
Answer:
9
Step-by-step explanation:
Area of kite is Area of triangles. Area is 6+3=9
Answer:
B
Step-by-step explanation:
it matches the table
948 divided by 1,000 is 0.948
