- #1
H.M. Murdock
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Homework Statement
Greetings I 'd really appreciate some help with this problem thanks a lot in advance.
Find the radio of an equilateral triangle if it is inside a circle, and if a side of the triangle has a length of 24.
Homework Equations
I had to use a right triangle of the form 60-30-90
The Radio is the hypotenuse, while one catete (on the base of the triangle) is 1/2 side, and the other catete is the apothem.
The Attempt at a Solution
-half the base equals 1/2 side
On the right triangle of the form 60-30-90,
-The hypotenuse "b" (The Radio) is 2 times the first catete a
-The first catete "a" (The Apothem) equals 1, and
-The second catete "c" (Half the Base) equals square root of 3.
If one side is 24, what is the process in order find the hypotenuse (The Radio) of the right triangle?
The answer of the book is 8 square root of 3.
Thanks a lot