Question 937329
area of the smaller
 5(5) +x(x) =13(13) 
 25+x(x) =169 
 x(x) =144 
 x=12 
 10(12)/2 = 6o units squared   Good Work.
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Use Heron's Equation to find the area of a triangle when 3 sides are given 
sides 12, 20, and 16.
A = {{{sqrt(s(s-a)(s-b)(s-c))}}}  s = 1/2P = 24
A = {{{sqrt(24(12)(4)(8))}}} = 96
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ratio of the smaller area to the larger area:  60/96 =  5/8