Question

Pythagorean theorem and its converse 20%20%3D%20%20%7B15%7D%5E%7B2%7D%20" id="TexFormula1" title=" {x}^{2} + {5}^{2} = {15}^{2} " alt=" {x}^{2} + {5}^{2} = {15}^{2} " align="absmiddle" class="latex-formula">

Answer 1

$x^2+25=225 \\ x^2=200 \\ \sqrt{x^2}= \sqrt{200} \\ x=14.14 \\ or \\ x=10 \sqrt{2}$
If
$c^{2} \ \textless \ a^2+b^2$ the triangle would be acute
If
$c^2=a^2+b^2$ the triangle would be right
If 
$c^2\ \textgreater \ a^2+b^2$ the triangle would be obtuse
Hope this helps!