Advanced Math practice question

Answer: 30

With shorter leg a: a² + (a + 7)² = 169 gives 2a² + 14a − 120 = 0, so a² + 7a − 60 = (a + 12)(a − 5) = 0 and the legs are 5 and 12; the perimeter is 30.

Common wrong answers

If you answered 12

12 is the longer leg.

If you answered 17

17 adds only the legs.

If you answered 25

25 adds 12 and 13.

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