The Pythagorean theorem is a fundamental principle used to find the length of a side in a right triangle. It states that:
c² = a² + b²
where c is the hypotenuse (the side opposite the right angle), and a and b are the other two sides.
Based on your question, you have two sides measuring 89 meters and 80 meters, and you want to solve for side B. Here's how to approach it step-by-step:
- Identify the sides: Usually, the longest side is the hypotenuse (c). Between 89 and 80, 89 is longer, so we consider 89m as c and 80m as side a.
- Apply the Pythagorean theorem: Since you want to find side B (side b), the formula rearranged is:
b = √(c² - a²) - Plug in the numbers:
b = √(89² - 80²)
= √(7921 - 6400)
= √1521 - Calculate the square root:
√1521 = 39 - Conclusion: The length of side B is 39 meters.
Summary: Given sides 89m (hypotenuse) and 80m (side), side B equals 39 meters according to the Pythagorean theorem.