Answer:
12
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
35^2 + b^2 = 37^2
1225 + b^2 = 1369
Subtract 1225 from each side
1225-1225 + b^2 = 1369-1225
b^2 = 144
Take the square root of each side
sqrt(b^2) = sqrt(144)
b=12
