Respuesta :

Step-by-step explanation:

Larger triangle side / smaller ratio.

x / 28 = 106 / 53 = 90 / 45

x / 28 = 2

x / 28 = 2 / 1

x = 56

Answer:

56

Step-by-step explanation:

Since the two triangles are similar, they have proportional sides. For instance, a proportion that can be made with the hypotenuse is [tex]\frac{106}{53}[/tex], which simplifies to 2. This means that triangle DEF's sides are half the size of triangle ABC's sides. Therefore, if you multiply 28 by 2, you get 56.

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