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
