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ABC is a triangle right angled at C. If ...

`ABC` is a triangle right angled at `C.` If `AB=25cm and AC=7cm,` find `BC.`

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To find the length of side \( BC \) in triangle \( ABC \) which is right-angled at \( C \), we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. ### Step-by-Step Solution: 1. **Identify the sides of the triangle:** - Hypotenuse \( AB = 25 \, \text{cm} \) - One leg \( AC = 7 \, \text{cm} \) - The other leg \( BC \) is unknown and will be denoted as \( x \). ...
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