Answer:
Is an obtuse triangle
Step-by-step explanation:
Let
c ----> the greater side of triangle
a and b are the other two sides of triangle
we know that
If [tex]c^2=a^2+b^2[/tex] ----> then we have a right triangle (Pythagorean Theorem)
If [tex]c^2>a^2+b^2[/tex] ----> then we have an obtuse triangle
If [tex]c^2<a^2+b^2[/tex] ----> then we have an acute triangle
we have
[tex]c=11\ cm\\a=4\ cm\\b=6\ cm[/tex]
substitute the given values
[tex]c^2=11^2=121[/tex]
[tex]a^2+b^2=4^2+6^2=52[/tex]
so
[tex]c^2> a^2+b^2[/tex]
therefore
Is an obtuse triangle
