To Define: Draw a diagram for Pythagoras theorem related to area of a square on the legs and the hypotenuse.
Answer to Problem 1CE
The required diagram is,
Explanation of Solution
Given information: According to the Pythagoras theorem, the area of the square on the hypotenuse of a right
According to the Pythagoras theorem,
Represent AB, BC, and AC in above equation by lengths c, a, and b respectively, we can write −
where
Therefore, in any right angled triangle, areas of the square drawn from the hypotenuse is equal to the sum of the areas of the squares that are drawn from the two legs, which is shown in the following diagram:
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