Week 6 Checkpoint: What is the Pythagorean theorem? How is it used? This is a connection amid the 3 sides of a right angled triangle. The theorem states that a^2 + b^2 = c^2, where a and b are the two shorter sides, and c is the hypotenuse - the longest side, the one opposite the right angle. Fundamentally it is used to find the missing ride in a right angled, if you know two of the sides you can calculate the 3. For example: The two shorter sides of a right angled triangle are 3 and 4, what is the length of the hypotenuse. c^2 = a^2 + b^2 c^2 = 3^2 + 4^2 c^2 = 9 + 16 c^2 = 25 So: c=5 The hypotenuse of a right angled triangle is 13 and one of the shorter sides is 5, calculate the length of the other side. c^2 = a^2 + b^2 13^2 = 5^2 + b^2 169 = 25 + b^2 169 - 25 = b^2 144 = c^2 So: c = 12
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