L= ft?
d= √(L^2+w^2)
Square both sides
d^2 = √(L^2+w^2)^2
d^2 = L^2 + w^2
subtract w^2 to both sides
d^2 - w^2 = L^2 + w^2 - w^2
note that w^2 on the right side will cancel out
d^2 - w^2 = L^2
Get the square root of both sides
L^2 = d^2 - w^2
L = √(d^2 - W^2)
Substitute the values d=25ft and w=7ft
L = √[(25ft)^2-(7 ft)^2]
L= √(625 ft^2 - 49ft^2)
L = √(576 ft^2)
L = 24ft <---- ANSWER
d = â(L² + w²)
d = â[(25)² + (7)²
d = â[625 + 49]
d = â674
d = 25.9615
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Verified answer
d= √(L^2+w^2)
Square both sides
d^2 = √(L^2+w^2)^2
d^2 = L^2 + w^2
subtract w^2 to both sides
d^2 - w^2 = L^2 + w^2 - w^2
note that w^2 on the right side will cancel out
d^2 - w^2 = L^2
Get the square root of both sides
L^2 = d^2 - w^2
L = √(d^2 - W^2)
Substitute the values d=25ft and w=7ft
L = √[(25ft)^2-(7 ft)^2]
L= √(625 ft^2 - 49ft^2)
L = √(576 ft^2)
L = 24ft <---- ANSWER
d = â(L² + w²)
d = â[(25)² + (7)²
d = â[625 + 49]
d = â674
d = 25.9615