Question

find three positive numbers in the ratio 4:3:5 the sum of which squares is 1728​

Answer 1

Answer

5.88

Step-by-step explanation:

Let the three numbers in the ratio be 4x,3x and 5x.

Their squares are:-

(4x)^2=16x^2

(3x)^2 =9x^2

(5x)^2=25x^2

ATQ:

16x^2+9x^2+25x^2=1728

50x^2=1728

x^2=1728/50

x^2=34.56

x=root 34.56

x=5.88

Answer 2

Answer:

The approximate values are 23.48,17.61,29.61

Step-by-step explanation:

let us take the tree numbers are 4x,3x,5x.

given sum of squares is 1728.

so (4x)*2+(3x)*2+(5x)*2 =1728

16x*2+9x*2+25x*2=1728

50x*2=1728

x*2=1728/50

x*2=34.56

x=5.87

so by substitute the value of x in 4x,3x,5x we get the answer