geometry math homework helppp pleasee!!?

Question

http://i5.tinypic.com/3y5nqk0.jpg... <------ go there =)

pleeaase help me with this proof.

please write the answer as in ex:

statement- 1. ____ 2._____ etcc

reason- 1._____ 2.____ etcc



thankks so much to all who helped!

Answer 1

The reason it's not making sense is that the given statement is wrong.

Statement 1: (a+b)^2 (area of outside square) = 4 * 1/2ab (area of triangle) + c^2 (area of inside square)
Reason 1: Area expressions set equal

S2: (a+b)^2 = a^2 + 2ab + b^2
R2: Expansion of squared expression

S3: a^2 + 2ab + b^2 = 2ab + c^2
R3: Transitive property (if a = b and b = c, then a = c)

S4: a^2 + b^2 = c^2
R4: Subtract 2ab from both sides.

Answer 2

with the help of applying the Pythagoras theorem theorem, AC^2 = AB^2 + BC^2 => (x + 4)^2 = x^2 + (x + 2)^2 strengthen => x^2 + 8x +sixteen = x^2 + x^2 + 4x + 4 addition and subtraction => x^2 - 4x -12 =0