Question - Solving for the Length of Side AB in a Right Triangle
Solution:
The image shows a right triangle ABC with a right angle at vertex B. The length of side BC is 3 units and the length of side AC is 4 units. To solve for side AB (labeled as "S" in the image), you can use the Pythagorean theorem since it's a right triangle. The Pythagorean theorem states that for 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.Mathematically, it's expressed as:c² = a² + b²Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.In this case, AB is the hypotenuse, so we can solve for S as follows:S² = 3² + 4²S² = 9 + 16S² = 25S = √25S = 5Therefore, the length of side AB is 5 units.
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