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G1. Pythagoras' result In any right-angled triangle, there is a connection between the three sides, which is illustrated in the diagram below. Sorry, this page requires a Java-compatible web browser. Move points A, B or C. The area of the green square is always equal to the sum of the areas of the red and blue squares. This connection is commonly known as Pythagoras' result and is usually written as: a2 + b2=c2 This result can be used to calculate one side of a right-angled triangle when the other two are known. An example Find the length of the hypotenuse. Call this side x, then x2=52 + 82=89 So x=89=9.43 cm Another example Find the missing length. Call this side y, then 72 + y2=112 So 49 + y2=121 So y2=121-49=72 y=72=8.49 cm Check that you understand by finding the missing length here. Press "When" to get started. a=b= then c=