Geometry

Question Analysis

This question focuses on applying Pythagorean inequality theorems. The key is to figure out the triangle type by comparing the sum of the squares of the two shorter sides and the square of the longest side.

Key Concept Explanation:

For a triangle with side lengths , , and (where is the longest side), if , it's a right triangle; if > , it's an acute triangle; if < , it's an obtuse triangle.

Step-by-Step Solution

Let , , and (as 15 is the longest side). Calculate

Click "Show Answer" to reveal the answer and analysis