Verified answer

cos 45° = 12/c

c = 12/cos 45°

c = 12 √2_________option C

cos45 = 12/c

√2/2 = 12/c

√2c = 24

c = 24/√2 = 24√2/2 = 12√2

tan(45) = a/12

1 = a/12

a = 12

hypotenuse = sqrt(12^2+12^2)

= sqrt(144+144) = sqrt(288) = sqrt(2*144) = √2sqrt(144) = 12√2

=12√2

degree 45-45-90 edge 1, 1 ,√2

so length of the hypotenuse is 12√2

C. 12√2