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To solve this problem, we need to find the area of triangle \(ABC\) in a cyclic quadrilateral \(ABCD\) with the given side lengths: \(AB = 7\), \(BC = 15\), \(CD = 15\), and \(AD = 25\).

### Step-by-Step Solution:

1. **Understanding the Problem**:
   - \(ABCD\) is a cyclic quadrilateral, meaning that all its vertices lie on a circle.
   - We are given the side lengths and need to calculate the area of triangle \(ABC\).

2. **

Learn how to calculate the area of triangle ABC in a cyclic quadrilateral ABCD with side lengths AB = 7, BC = 15, CD = 15, and AD = 25. Follow a detailed step-by-step solution for finding the area using geometric principles. Suitable for high school students studying geometry.

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