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  1. Question 1: Calculate the perimeter of triangle ABC. Question 2: The distance between the points (1, 2) and (16, p) is 17. Find the possible values of p. Question 3: The distance between the points (−3, −4) and (q, 5) is 15. Find the possible values of q.

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  3. To find the distance between two points ($$x_1, y_1$$) and ($$x_2, y_2$$), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below. The distance formula is $ \text{ Distance } = \sqrt{(x_2 -x_1)^2 + (y_2- y_1)^2} $

  4. We seek a formula for the distance between two points: By the Pythagorean Theorem, Since distance is positive, we have: . .

  5. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation.

  6. Check your answers seem right. 1. Shown below are the points A(1, 4) and B(7, 15) ............................. 2. Shown below are the points A(−9, −2) and B(3, −10) 3. Calculate the distance between the points (−5, 7) and (−3, −2). .............................

  7. . . x. . . 10) . y. . . . x. . . Find the distance between each pair of points uing Pythagorean Theorem. (Sketch a graph and plot the points first). Also, determine the slope between the two points for review. 11) ( , ), ( , ) 12) ( , ), ( , ) 13) ( , ), ( , ) 15) ( , ), ( , )