PLEASE HELP!! SHOW STEPS FOR BRAINLIEST! Pythagorean theorem BASED question: An artist joined three square regions at their
vertices to create the figure shown in the diagram.

The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?

A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.

B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.

C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.

D. None of these

This is a classic proof of the Pythagorean Theorem!

Pythagorean theorem is a^2 + b^2 = c^2. With a square, its area is its side length squared. Therefore, if we think about this as squares, then the sum of the area of square X and square Y will be equal to the sum of square Z.

Looking at your answer choices, the best option is C - The number of tiles needed to cover Region Z is the same number of tiles needed to cover both Region X and Region Y.

Hope this helps!! :)

since both sides equal, there are infinitely many olutions.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point