What type of triangle has side lengths 2, √12, and √19?

Answer:Is an scalene obtuse triangleStep-by-step explanation:step 1Find the type of triangle by the measure of the interior angleswe know thatIf applying the Pythagoras Theorem[tex]c^{2}=a^{2}+b^{2}[/tex] ----> we have a right triangle[tex]c^{2} > a^{2}+b^{2}[/tex] ----> we have an obtuse triangle[tex]c^{2}< a^{2}+b^{2}[/tex] ----> we have an acute trianglewherec is the greater sidewe have[tex]c=\sqrt{19}\ units[/tex][tex]a=2\ units[/tex][tex]b=\sqrt{12}\ units[/tex]substitute[tex]c^{2}=(\sqrt{19})^{2}=19[/tex][tex]a^{2}+b^{2}=(2)^{2}+(\sqrt{12})^{2}=16[/tex]so[tex]19 > 16[/tex] -----> [tex]c^{2} > a^{2}+b^{2}[/tex] we have an obtuse trianglestep 2Find the type of triangle by the measure of the sideswe have that The measure of its three sides is differentthereforeIs an scalene triangle