Select all that apply. A right triangle can also be a(n) _____ triangle.
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Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.
Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.
We are to find the lengths of the sides of the mirror and the painting.
Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.
According to the given information, we have
Therefore, the side length of mirror is 7 ft and the side length of painting is (7+2) = 9 ft.
Thus, the side lengths of mirror and painting are 7 ft and 9 ft respectively.
In order to solve by elimination, let's multiply the first equation by -2. This way, when we add the equations, the variable y will be canceled out:
Now, adding the equations, we have:
Now, calculating the value of y, we have:
Therefore the solution is (3, 0).