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The length of one leg of a right triangle is 9 meters. the lengths of the other two sides are consecutive integer numbers of meters. what is the number of meters in the perimeter of the triangle?

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jackyang0325p2z5fu
The other sides are 40 and 41, because they are consecutive numbers that add up to 9 squares, the perimeter is 90 as a result
suppose the other leg is x, the hypotenuse is then x+1
using the Pythagorean theorem, 9²+x²=(x+1)²
81+x²=x²+2x+1
2x=80
x=40
the hypotenuse is 41+1=41
peremeter: 41+40+9=90

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