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30 votes
If DE= 10 in and GH= 4in what is the length of the radius? Round to the nearest tenth

If DE= 10 in and GH= 4in what is the length of the radius? Round to the nearest tenth-example-1
User Hongxu Jin
by
3.0k points

1 Answer

14 votes
14 votes

Solution

Using Pythagoras


\begin{gathered} GE^2=ME^2+GM^2 \\ ME=5 \\ GM=2 \\ GE^2=5^2+2^2 \\ GE^2=25+4 \\ GE^2=29 \\ Take\text{ the square root} \\ GE=√(29) \\ GE=5.3851 \end{gathered}

GE is the radius

Therefore, the final answer

Option A


5.4in

If DE= 10 in and GH= 4in what is the length of the radius? Round to the nearest tenth-example-1
User Nomoa
by
2.7k points