SOLUTION: if a gate is "n" high and "2n" wide and the diagonal measures 96", what are the height and width of the gate?
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Question 1001777: if a gate is "n" high and "2n" wide and the diagonal measures 96", what are the height and width of the gate?
Found 3 solutions by vleith, addingup, Boreal:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let's assume the gate is a rectangle.
Use Pythagorean theorem
inches
The gate is approximately 42.93 inches by 85.86 inches
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Pythagoras:
a^2+b^2= c^2
---------------
n= 43 is your width
2n= 43*2=86 is your length
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is the Pythagorean Theorem
one side n
other side 2n
diagonal is 96
square them n^2+(2n)^2=96^2
5n^2=9216
n^2=1843.2
n=42.93 inches high
2n=85.86 inches wide
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