Boone Hodges
04/16/2024 · Junior High School

Question Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).

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To graph a right triangle with the two points forming the hypotenuse, we need to know the coordinates of the two points. Let's denote the coordinates of the first point as \( (x_1, y_1) \) and the coordinates of the second point as \( (x_2, y_2) \). The distance between the two points can be calculated using the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] Let's assume the coordinates of the two points are \( (x_1, y_1) = (0, 0) \) and \( (x_2, y_2) = (3, 4) \). We will calculate the distance between these two points. Calculate the value by following steps: - step0: Calculate: \(\sqrt{\left(3-0\right)^{2}+\left(4-0\right)^{2}}\) - step1: Remove 0: \(\sqrt{3^{2}+\left(4-0\right)^{2}}\) - step2: Remove 0: \(\sqrt{3^{2}+4^{2}}\) - step3: Add the numbers: \(\sqrt{25}\) - step4: Write in exponential form: \(\sqrt{5^{2}}\) - step5: Simplify the root: \(5\) The distance between the two points is 5 units. Therefore, the distance between the two points forming the hypotenuse of the right triangle is 5 units.

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The distance between the two points is 5 units.
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