Respuesta :

Answer:

By Pythagoras theorem

x² = 7² + 14²

x² = 49 + 196

x² = 245

X = square root of 245

245 is number that belongs to the green box

The missing side of the right triangle is √245. The number that belongs in the green box is 245

Calculating the side length of a triangle

From the question, we are to determine the missing side of the given triangle

The missing side of the triangle can be determined by using Pythagoras' theorem

The theorem states that, in a right angle triangle

c² = a² + b²

Where c is the length of the longest side (hypotenuse)

and a & b are the other two sides

From the given information,

Hyp = x;

Let a = 7 and b = 14

∴ x² = 7² + 14²

x² = 49 + 196

x² = 245

x = √245

Heence, the missing side of the right triangle is √245. The number that belongs in the green box is 245.

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