The other leg measures 20.5 m.
Since this is a right triangle, we can use the Pythagorean theorem to solve this. The Pythagorean theorem says that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse, or
a²+b²=c², where a and b are the legs and c is the hypotenuse.
Plugging in the value of the one known leg and the hypotenuse, we have
32²+b²=38²
32*32 + b² = 38*38
1024 + b² = 1444
Subtract 1024 from both sides:
1024 + b² - 1024 = 1444 - 1024
b² = 420
Take the square root of both sides:
√b² = √420
b ≈ 20.5