16Hit1600
Advanced MathVery hardPerimeter of a right triangle from a relation between its sides

Advanced Math practice question

In a right triangle, the hypotenuse is 1 unit longer than the longer leg, and the shorter leg is 5 units. What is the perimeter of the triangle?

Answer: 30

With longer leg b: 25 + b² = (b + 1)² gives 25 = 2b + 1, so b = 12, the hypotenuse is 13, and the perimeter is 30.

Common wrong answers

If you answered 12
12 is the longer leg.
If you answered 13
13 is the hypotenuse.
If you answered 17
17 adds only 5 and 12.

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