Answer:
Part 1) The segment length indicated is [tex]6.4\ units[/tex]
Part 2) The segment length indicated is [tex]19\ units[/tex]
Step-by-step explanation:
Let
x------> the segment length indicated
Part 1)
Applying the Pythagoras Theorem
[tex](13+x)^{2}=13^{2}+14.4^{2}\\ \\ (169+26x+x^{2})=169+207.36\\ \\x^{2}+26x-207.36=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]x=6.4\ units[/tex]
see the attached figure N 1
Part 2)
Applying the Pythagoras Theorem
[tex]x^{2} =11.4^{2}+(7.6+7.6)^{2}\\ \\ x^{2}=129.96+231.04\\ \\x^{2}=361\\ \\x=19\ units[/tex]
