Question

if 3 square of their edges in the ratio 3:4:5 together forms a square of diagonal 4 root 3 then find the edge of the squares

Answer 1

let the sides of the three cubes be 3x,4x,5x

diagonal of square=4 root 3

but diagonal of square is =a root 2

a root 2 = 4 root 3

a=2 root 6

sum of the area

of all the three square =area of big square

$9{x}^{2} +16 {x}^{2} + 25 {x}^{2} = 24$

after that solve it and get the answer of x

then substitute the value of x in 3x 4x 5x to get the edge of squares

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