Question

ls AABC an acute, right or obtuse triangle? Work must be shown to support your answer.

Answer 1

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.