Answer:
x = 3 rounded to the nearest whole number (actually 2.735)
Explanation:
The triangle formed by the sides of length 7x, 12x and 32 form a right triangle with the side of length 32 as they hypotenuse
By the Pythagorean theorem
c² = a² + b² where c = hypotenuse, a and b being the other two sides
Plugging in values we get
38² = (7x)² + (12x)²
1,444 = 49x² + 144x² = 193x²
Switching sides:
193x² = 1444
x² = 1444/193 = 7.48
x = √7.48= 2.735 = 3 rounded to the nearest whole number