Answer:
Obtuse
Explanation:
If we have a triangle with sides a, b, and c, where c is the longest side, we can identify if it is right, acute, or obtuse using the following rule:
if c² < a² + b², then the triangle is acute
if c² = a² + b², then the triangle is right
if c² > a² + b², then the triangle is obtuse
So, replacing a by 15, b by 36, and c by 48, we get the following relationship:
48² > 15² + 36²
2304 > 225 + 1296
2304 > 1521
Therefore, the triangle is obtuse.
