3 years ago

Which of the following sets could be the sides of a right triangle?

Mathematics

1 answer:

Genrish500 [490]3 years ago

3 0

Answer:

None of the above

Step-by-step explanation:

None of the answer choices are even triangles, let alone right triangles. The sum of the two smaller sides isn't larger than the bigger side on any of the triangles, which means that they cannot be closed.

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The point A(-2, 3) is translated using T: (x,y) = (x + 4, y + 2).

Charra [1.4K]

Answer: Choice D) $2\sqrt{5}$

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Work Shown:

Point A starts at (-2,3) and moves to (2,5) after applying the translation rule of "shift 4 to the right, 2 up".

Use the distance formula to find the distance from (-2,3) to (2,5)

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-2-2)^2 + (3-5)^2}\\\\d = \sqrt{(-4)^2 + (-2)^2}\\\\d = \sqrt{16 + 4}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\$