Question

the side lengths of a triangle are 7, 11, and 16. what kind of triangle is this? not enough information acute right obtuse

Explanation:

Step1: Identify longest side

Longest side $c=16$

Step2: Calculate $c^2$

$c^2 = 16^2 = 256$

Step3: Sum squares of other sides

$a^2 + b^2 = 7^2 + 11^2 = 49 + 121 = 170$

Step4: Compare values

Since $256 > 170$, i.e., $c^2 > a^2 + b^2$, the triangle is obtuse.

Answer:

obtuse