Answer:
The triangle with side lengths 7 in, 11 in, 13 in will be an acute angled triangle.
Step-by-step explanation:
If we assume that the triangle with height 7 inches and base 11 inches of a right triangle then its hypotenuse will have the length of
[tex]\sqrt{7^{2} + 11^{2}} = \sqrt{170} = 13.04[/tex] inches.
But the third side of the triangle is given to be 13 inches which is less than 13.04 inches i.e. 13 < 13.04.
Therefore, the triangle with side lengths 7 in, 11 in, 13 in will be an acute-angled triangle. (Answer)
