CPM Homework Help : CCGS Problem 7-30

A smaller square, side length, c, rotated inside a larger square such that each vertex touches the side of the large square. A right triangle is formed along each side of the smaller square with a base of, a, a height of, b, and a hypotenuse of, c. That same triangle is positioned in each corner of the large square filling the entire space with the small square. Examina el diagrama de la derecha. Halla dos expresiones equivalentes que representen el área del cuadrado interno.

Pista:

Área del $\text{cuadrado interior}=\text{(base) (altura)}$ o el cuadrado grande menos $4$ triángulos.

Respuesta:

$c^2$ o $a^2+b^2$