Step 1 : Think – what is the property of the sides of a right triangle?
They follow the Pythagorean theorem.
That means square of the longest side is the sum of the squares of the other 2 sides.
Lets’ give some name to the sides:
a=12 in
b=5 in
c=13 in
Step 2: Now prove that
![](data:image/png;base64,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)