I need help writing a critique of this proof

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I need help writing a critique of this proof
Draw a square ABCD with side = a + b. Let E, F, G, and
H be points on each side of the square such that BE = CF
= DG = AH = a.
First, notice that Area (ABCD) = (a + b)²
= a² + 2ab + b²
Second, observe that the area of the square ABCD is also
equal to the area of the square EFGH plus the area of
triangles ABEH, ACFE, ADGF, and AAHG. Thus,
A
ab
Area (ABCD) = 4 + c² = 2ab + c²
Therefore.
2ab + c²=a² - 2ab + b²
→ c²=a² + b²
plis
a
G
9
C
Transcribed Image Text:Draw a square ABCD with side = a + b. Let E, F, G, and H be points on each side of the square such that BE = CF = DG = AH = a. First, notice that Area (ABCD) = (a + b)² = a² + 2ab + b² Second, observe that the area of the square ABCD is also equal to the area of the square EFGH plus the area of triangles ABEH, ACFE, ADGF, and AAHG. Thus, A ab Area (ABCD) = 4 + c² = 2ab + c² Therefore. 2ab + c²=a² - 2ab + b² → c²=a² + b² plis a G 9 C
Expert Solution
Step 1

Solution :-
Given :-
b
Fa
C
a
5
b
b
E
la
2
А а н
b
B
A B C D is
a
square
LEBH = <FCE
with side (atb)
KG DF = 90°
GAH
since
E,

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