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three square regions are joined at their vertices to create the figure shown.


if the combined area of region X and region Y is 289 in2, which statement is true?


A) the area of region Z is equal to 289 in2.


B) the area of region Z is is less than to 289 in2.


C) the area of region Z is is more than equal to 289 in2.


D) the area of region Z is cannot be determined from the information presented.

three square regions are joined at their vertices to create the figure shown if the combined area of region X and region Y is 289 in2 which statement is true A class=

Respuesta :

Answer:

A - The area of Region Z is equal to 289 in^2.

Step-by-step explanation:

The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides.

The statement is true is option A - The area of Region Z is equal to 289 in^2.

True statement regarding the combined area:

Since the square regions are joined at their vertices also the combined area of the region x and region Y should be 289 so we know that the area of the square based on the hypotenuse of a right triangle should be equivalent to the sum of the areas of the squares that based on the left sides.

Therefore, the option A is correct.

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