The width of a rectangle is s. Its length is 3s. How long is a diagonal of the rectangle? Express your answer in simplified radi
cal form.
1 answer:
By the pythagorean theorem:
h^2=x^2+y^2, h is the diagonal, and x and y are the sides so...
d^2=s^2+(3s)^2
d^2=s^2+9s^2
d^2=10s^2
d=s√10 (since 10=2*5 neither of which is a square so √10 cannot be simplified any further)
The diagonal is s√10 units
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