How to Solve for the Hypotenuse Using the Pythagorean Theorem with Sides 12cm and 5cm

Learn step-by-step how to calculate the length of the hypotenuse (C) in a right triangle when given two side lengths of 12 cm and 5 cm using the Pythagorean theorem.

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The Pythagorean theorem is a formula used to find the length of a side in a right triangle. It states that:

a2 + b2 = c2

Here, c is the hypotenuse (the longest side opposite the right angle), and a and b are the other two sides.

Given:

  • a = 12 cm
  • b = 5 cm

Step 1: Square both sides:

122 = 144

52 = 25

Step 2: Add the squares:

144 + 25 = 169

Step 3: Find the square root of the sum to get c:

c = √169 = 13

Therefore, the length of side C (the hypotenuse) is 13 cm.

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