Question

unit exam - right triangles and trigonometry
classify the triangle with side lengths of $a = 10$, $b = 12$, and $c = 13$.
obtuse
right
acute

Explanation:

Step1: Square the longest side

$c^2 = 13^2 = 169$

Step2: Sum squares of other sides

$a^2 + b^2 = 10^2 + 12^2 = 100 + 144 = 244$

Step3: Compare the two values

Since $169 < 244$, the triangle is acute.

Answer:

Acute