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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Mathematics

1 December, 09:30

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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Answers (2)

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Taliyah · Answer 1

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

Benjamin Mclaughlin · Answer 2

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