Shown here are the three essential steps in a proof of the pythagorean theorem. which statement is justified by the diagram in step 1?

a) 4(
ab
2
) = c2
b) b(a + b) = b2 + 2(
1
2
ba)
c) a2 + b2 = c2
d) (a + b)2 = a2 + 2ab + b2

D)(A + B)2 = A2 + 2AB + B2

Step-by-step explan(A + B)2 = A2 + 2AB + B2 is correct. The area of the large square can be written as (A+B)(A+B) or, by adding up the areas of the two squares and two rectangles inside it, which are A2, B2, AB, and AB.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3