The best answer is D.
According to the pythagorean theorem, a^2+b^2=c^2 in a right triangle where a and b are the legs and c is the hypotenuse.
The diagram given gives the length of both legs, so plug it into the equation to get c^2= 24^2+45^2
Answer:
...?
Step-by-step explanation:
Answer:
12√3 inches or 20.785 inches.
Step-by-step explanation:
A regular hexagon can be defined as a polygon with 6 sides.
The formula for the perimeter of a regular hexagon =
6 × the length of the sides of the hexagon.
From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long
Step 1
Find the radius of the circle
Radius of the circle = 4√3/2 = 2√3 inches
Step 2
The radius of the inscribed circle = Length of one of the sides of a regular hexagon.
Hence, the perimeter of the regular hexagon = 6 × 2√3
= 12√3 inches
= 20.784609691 inches.
Approximately 20.785 inches
using pythagorean theorem
a^2 + b^2 =c^2
a^2 +8^2 =14^2
a^2 +64 = 196
subtract 64 from each side
a^2 = 132
take the square root of each side
a^2 = sqrt (132)
a=11.48912529
a =11.5
