Question

Find the exact length of the third side

Answer 1

12

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