A rectangle with sides 10 cm and 8 cm has the same diagonal as a square. What is the length of the side of the square. Give your answer as a surd.
Answers
Answered by
2
The diagonal of the rectangle will be,
√100+64 = √164
Diagonal of a square = side√2
The diagonals are equal,
So, √164 = side√2
164 = side²(2)
side² = 82
side = √82cm
So, the length is √82cm.
√100+64 = √164
Diagonal of a square = side√2
The diagonals are equal,
So, √164 = side√2
164 = side²(2)
side² = 82
side = √82cm
So, the length is √82cm.
bradleysmyth:
so whats the final answer
it's √41cm
that didnt work
???
it said wrong answer
then what it is?
it said wrong answer right ans is √82 cm
ok
understood my mistake
Answered by
0
Given -:A rectangle with sides 10 cm and 8 cm
we know
that diagonals of a rectangle is √[L^2 +B^2]
and diagonals of a rectangle is √2* side
now diagonal of rectangle = diagonal of as a square [given]
∴√[L^2 +B^2] =√2* side
∴√[10^2 +8^2] =√2* side
∴√[100 +64] =√2* side
∴√[164] =√2* side
∴2√41=√2* side
∴[2√41]/√2= side
∴[2√41]/√2[√2/√2] = side [rationalizing the denominator]
∴[2√41]*√2/2 =side
∴√41*√2 =side
∴√82 =side ANS
Similar questions