Learn step-by-step how to apply the Pythagorean theorem to find the length of the hypotenuse when given two legs of a right triangle measuring 36 inches and 27 inches.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b):
c2 = a2 + b2
Given:
Step 1: Square both legs:
362 = 36 × 36 = 1296
272 = 27 × 27 = 729
Step 2: Add the squares together:
1296 + 729 = 2025
Step 3: Take the square root of the sum to find the hypotenuse c:
c = √2025 = 45 inches
Answer: The length of the hypotenuse c is 45 inches.
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