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Step-by-step explanation:
Let the ratios of it's legs be 3x and 4x.
For a right angled triangle
By pythagoras theorem
H^2 = P^2+ B^2
10^2 = 3x^2 +4x^2
100 = 9x^2 + 16x^2
100 = 25x^2
100 ÷ 25 = x^2
4 = x^2
x= 2
Length of longer arm is 4x = 4×2=8
Hence if hypotenuse is = 10, then the sides will be, 6 and 8.
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