Question 513743
 Lets the altitude = x inches, then the side will be 5x+3 inches.
As we know the area of triangle is given by the formula:

{{{A=(b*h)/2}}}, where b=5x+3, and h=x, substituting in our formula we get:

{{{ 13=x*(5x+3)/2}}} solving this equation we get the altitude

{{{26=5x^2+3x}}}, set the equation equal to zero

{{{5x^2+3x-26=0}}}Solve the equation using quadratic formula

{{{x=-3+-sqrt(3^2-4*5*(-26))/(2*5)}}}

x=2 (The negative root is rejected)

To find the length of the side plug x=2, and get b=5*2+3=13

Answer:The length is 13 inches and the altitude to this side is 2 inches.