vilmabran2146 vilmabran2146
  • 26-05-2021
  • Mathematics
contestada

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

Respuesta :

ewomazinoade ewomazinoade
  • 27-05-2021

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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