Using Squares to Prove the Pythagorean Theorem


How to use this activity:

  1. This sketch builds on the earlier sketch in which squared numbers were represented as squares.

  2. Move the free points to show how this sketch illustrates the Pythagorean Theorem. 

  3. Use the sketch to answer the questions at left.

  4. NOTE: Due to pixel size and rounding errors, answers may not be exact.  However, the sketch does demonstrate that, for all right triangles,  a2 + b2 = c2.


Q1:

Can you make a right triangle with sides a=3, b=4, c=5?

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Q2:

Can you make an isosceles triangle with two sides = 3?

 

Q3:

What would be the length of the hypotenuse if two legs of a right triangle had lengths

a=3, b = 1, c = ?

Q4:

Can you make more than one right triangle with hypotenuse = 4?

 

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