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so, c^2=a^2+b^2


if given:

c = 15,3

b / a = 7=> b = 7a


we have


15.3^2=a^2+(7a)^2........solve for a

15.3^2=a^2+49a^2

15.3^2=50a^2

15.3^2/50=a^2

a=sqrt(15.3^2/50)

a=15.3/sqrt(50)

a=2.1637467504308354


b = 7a =>b = 7*2.1637467504308354=15.1462272530158478


exact solution:

a=2.1637467504308354

15.1462272530158478


we can round it to one decimal place, so sides a and b are:

a=2.2 and b=15.2



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