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Answered by
5
let the numbers are 2x,3x and 4x
sum of squares = 4x^2 +9x^2 + 16x^2
725 = 29x^2
725/29 = x^2
25 = x^2
root 25 =x
5 =x
then the numbers are
2*5=10
3*5=15
4*5 =20
numbers are 10, 15 and 20
sum of squares = 4x^2 +9x^2 + 16x^2
725 = 29x^2
725/29 = x^2
25 = x^2
root 25 =x
5 =x
then the numbers are
2*5=10
3*5=15
4*5 =20
numbers are 10, 15 and 20
Answered by
1
hiii frnd!!
here's ur answer...
let three numbers be 2x, 3x and 4x.
therefore (2x)² + (3x)² + (4x²) = 725
=> 4x² + 9x² + 16x² = 725
=> 29x² = 725
=> x² = 725/29
=> x² = 25
=> x = √25
=> x = 5
therefore the numbers are :-
→ 2x
= 2 × 5
= 10
→ 3x
= 3 × 5
= 15
→ 4x
= 4 × 5
= 20
VERIFICATION:-
= (10)² + (15)² + (20)²
= 100 + 225 + 400
= 725
hence verified
hope this helps..!
here's ur answer...
let three numbers be 2x, 3x and 4x.
therefore (2x)² + (3x)² + (4x²) = 725
=> 4x² + 9x² + 16x² = 725
=> 29x² = 725
=> x² = 725/29
=> x² = 25
=> x = √25
=> x = 5
therefore the numbers are :-
→ 2x
= 2 × 5
= 10
→ 3x
= 3 × 5
= 15
→ 4x
= 4 × 5
= 20
VERIFICATION:-
= (10)² + (15)² + (20)²
= 100 + 225 + 400
= 725
hence verified
hope this helps..!
brainly73:
hi rose
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