Question - Finding Missing Side Length in Right Triangle using Pythagorean Theorem
Solution:
The Pythagorean theorem is used to find the length of a side of a right triangle. It 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. The theorem can be written as:a² + b² = c²Here, c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.From the image, the hypotenuse of the triangle is 17 inches, and one of the other sides is 8 inches. We need to find the length of the missing side, labeled b.Using the Pythagorean theorem:8² + b² = 17²64 + b² = 289Now, subtract 64 from both sides to isolate b²:b² = 289 - 64b² = 225Taking the square root of both sides gives us the length of the missing side:b = √225b = 15Therefore, the length of the missing side b is 15 inches.
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