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Name Date Class LESSON103Coordinate Proof Using Distance with Segments and Triangles Practice and Problem-Solving: ModifiedPosition a right triangle on the grid with a vertex at the origin and its
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Identify the given information: To fill out the position of a right triangle, you need certain information such as the length of one side and one angle measure.
02
Determine the missing information: Use the given information and the properties of right triangles to find the missing side length or angle measure. You can use trigonometric functions like sine, cosine, or tangent to calculate the missing values.
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Use the Pythagorean theorem: If you have two side lengths of the right triangle, you can use the Pythagorean theorem (a^2 + b^2 = c^2) to find the length of the missing side.
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Calculate the angles: If you know two side lengths, you can use trigonometric functions to find the angles of the right triangle. For example, if you know the lengths of the two legs, you can use the inverse tangent function (arctan) to find the measure of one of the acute angles.
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Apply the properties of right triangles: Remember that in a right triangle, one angle is always 90 degrees, and the sum of the angles is always 180 degrees. Use these properties to check your calculations and ensure that the position of the right triangle is accurately filled out.

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Position in a right triangle refers to the location of the vertices and sides relative to each other.
Anyone working on geometry problems or calculations involving right triangles may need to determine the position of the triangle.
To fill out the position of a right triangle, you need to identify the vertices and sides of the triangle and their relationships.
The purpose of determining the position of a right triangle is to accurately calculate its properties and solve related problems.
The information reported on the position of a right triangle includes the coordinates of the vertices, lengths of the sides, and measures of the angles.
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