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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.
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} $
Free lesson on The distance between two points, taken from the 5 Equations and graphs topic of our Australian Curriculum 3-10a 2020/21 Editions Year 9 textbook. Learn with worked examples, get interactive applets, and watch instructional videos.
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9.1 Distance Formula and Circles A. Distance Formula We seek a formula for the distance between two points: By the Pythagorean Theorem, Since distance is positive, we have: Distance Formula: 1
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.
Use the Distance Formula 2. Use the Midpoint Formula. Examples: 1. Find the distance between the points (-3,7) and (4,10). 2. Determine whether the triangle formed by points A=(-2,2), B=(2,-1), and C=(5,4) is a right triangle. 3. Find the midpoint of the line segment joining the points P1=(6,-3) and P2=(4,2).
