SOLUTION: find d give you answer in simplest form <pre> /|\ / | \ 7 divided by squareroot of2/ |a \d

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Question 1107696: find d give you answer in simplest form 

 /|\
                             / | \
 7 divided by squareroot of2/  |a \d
                           /   |   \
                         /45 90|    \
                         /     |  30 \
                        /______|______\
                            b     c

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
find d give you answer in simplest form 

                               R
                              /|\
                             / | \
                  7/sqrt(2) /  |a \d
                           /   |   \
                          /    |    \
                         / 45  |  30 \
                       S/______|______\T
                            b  U   c

Angle RST = 45 --> angle SRU = 45
Side a = b = 7
----------------
sin(30) = a/d = 1/2
d = 14