Answer:
Is an scalene obtuse triangle
Step-by-step explanation:
step 1
Find the type of triangle by the measure of the interior angles
we know that
If 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 triangle
where
c is the greater side
we 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 triangle
step 2
Find the type of triangle by the measure of the sides
we have that
The measure of its three sides is different
therefore
Is an scalene triangle
