Answer
10.7
Work Step by Step
$9^2+x^2=14^2$
$81+x^2=196$
$x^2=196-81$
$x=\sqrt {115}$
$\sqrt {115}\approx10$
Divide and find the average to find the approximate solution.
$115\div10=11.5$
$(10+11.5)\div2=10.8$
Repeat to further refine,
$115\div10.8=10.6$
$(10.8+10.6)2=10.7$
