Question

Using Pythagorean inequalities, determine which of the following sets of values could represent the lengths of the sides of an obtuse triangle.

A.
11, 12, 22
B.
5, 12, 13
C.
7, 8, 9
D.
5, 6, 11

Answer 1

A

Answer 2

For obtuse triangles, the longest side has to be more than the sum of the other legs.

Answer 3

\[11^{2}=121\]\[12^{2}=144\]\[121+144=265\]\[\sqrt{265}=16.3\]