Triangles Unit Test

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Question
Use the image to answer the question.

A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 9.

Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.

(1 point)

1 answer

To find the length between two points using the Pythagorean Theorem, we need the coordinates of the two points. Let’s assume the points are A(x1, y1) and B(x2, y2).

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse (c) can be found using the formula:

\[ c = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Steps to follow:

  1. Identify the coordinates of the two points from the graph.
  2. Substitute the coordinates into the formula.
  3. Calculate the squared differences.
  4. Sum the squared differences.
  5. Take the square root of the sum.
  6. Round the final answer to the nearest hundredth.

If you provide the coordinates of the points, I can help you calculate the length more specifically!