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Romashka [77]
3 years ago
11

Write an expression for the area of square 5 by combining the areas of the four triangles and the one square.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

2ab + c²

Step-by-step explanation:

Please find attached a diagram of square 5

Area of a triangle = 1/2 x ( base x height)

(1/2 x (a xb) ) x 4 = 2ab

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

a² + b² = c²

a² + 2ab+ b² = 2ab + c²

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