How to Solve for the Hypotenuse Using the Pythagorean Theorem with 7 yards and 24 yards

Step-by-step guide on using the Pythagorean theorem to find the hypotenuse of a right triangle with legs measuring 7 yards and 24 yards.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (side C) is equal to the sum of the squares of the other two sides (side A and side B). The formula is:

C² = A² + B²

Given:

  • A = 7 yards
  • B = 24 yards

Step 1: Square both sides A and B:

  • A² = 7² = 49
  • B² = 24² = 576

Step 2: Add the squares together:

C² = 49 + 576 = 625

Step 3: Take the square root of C² to find C:

C = √625 = 25

Answer: The length of side C (the hypotenuse) is 25 yards.

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