Question - Calculating the Length of a Right Triangle's Hypotenuse
Solution:
The triangle shown in the image is a right triangle, and we are asked to find the length of the hypotenuse (labeled "c"). To do this, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.The formula for the Pythagorean theorem is:a² + b² = c²From the image, we have side lengths:a = 60 meters (the horizontal side)b = 80 meters (the vertical side)Now we substitute these values into the formula:(60 m)² + (80 m)² = c²3600 m² + 6400 m² = c²10000 m² = c²Taking the square root of both sides to solve for c, we get:c = √10000 m²c = 100 mTherefore, the length of the hypotenuse c is 100 meters. There is no need to round because the result is an exact whole number.
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