Question

State if the three sides lengths form an acute, obtuse, or right triangle: 7 in, 11 in, 13 in a acute b obtuse c right

Answer 1

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

$\sqrt{7^{2} + 11^{2}} = \sqrt{170} = 13.04$ 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)