The length of the hypotenuse c is 6
How to determine the length of c?
The given parameters are
Legs = a and b
Hypotenuse = c
a = 2√3
c = 2b
Make b the subject in c = 2b
b = 1/2c
By Pythagoras theorem, we have:
c^2 = a^2 + b^2
This gives
c^2 = (2√3)^2 + (1/2c)^2
Evaluate the exponents
c^2 = 12 + 1/4c^2
Evaluate the like terms
1/3c^2 = 12
This gives
c^2 = 36
Take the square roots
c = 6
Hence, the length of the hypotenuse c is 6
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