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In a right triangle ABC, < B =90^@. (a)...

In a right triangle `ABC, < B =90^@.` (a) If `Ab=6cm,BC=8cm,` find `AC` (b) If `AC=13cm,BC,` find `AB.`

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To solve the problem step-by-step, we will use the Pythagorean theorem, which 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. ### Part (a): Finding AC 1. **Identify the sides of the triangle**: In triangle ABC, we have: - AB = 6 cm (one leg) - BC = 8 cm (the other leg) - AC = ? (the hypotenuse) ...
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