In the figure shown in the figure, all quadrangles are squares, all triangles are right triangles, and the maximum square surname side length is 7 cm Find the area sum of a.b.c.d

In the figure shown in the figure, all quadrangles are squares, all triangles are right triangles, and the maximum square surname side length is 7 cm Find the area sum of a.b.c.d

Test point: pythagorean theorem
Analysis: first calculate the area of each square, and then according to the Pythagorean theorem
All triangles are right triangles and all quadrilaterals are squares,
The area of square a = A2, the area of square B = B2,
The area of square C = C2, the area of Square D = D2,
And ∵ A2 + B2 = X2, C2 + D2 = Y2,
The area sum of squares a, B, C and d = (A2 + B2) + (C2 + D2) = x2 + y2 = 72 = 49cm2
Comments: this problem mainly uses Pythagorean theorem for reasoning, we should pay attention to the following