A rectangle with sides 11 cm and 9 cm has the same diagonal as a square. What is the length of the side of the square. Give your answer as a surd.
Carol H.
answered 12/19/18
Experienced Mathematics Tutor w/ Master's Degree in Math
Rectangle:
c2 = a2 + b2
c2 = 92 + 112
c2 = 81 + 121
c2 = 202
Square:
a2 + b2 = c2
a2 + a2 = 202
2a2 = 202
a2 = 101
√a2 = √101
a = √101
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