How to Solve for Hypotenuse C Using the Pythagorean Theorem with Legs 45mi and 60mi

Learn step-by-step how to use the Pythagorean theorem to calculate the hypotenuse when given two legs measuring 45 miles and 60 miles.

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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 two legs A and B. The formula is:

C2 = A2 + B2

Given:

  • A = 45 miles
  • B = 60 miles

Step 1: Square both legs:

  • 452 = 2025
  • 602 = 3600

Step 2: Add these values:

2025 + 3600 = 5625

Step 3: Take the square root of the sum to find C:

C = √5625 = 75 miles

Therefore, the hypotenuse C is 75 miles.

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