3. Now that we have determined the length of each side of the special triangles, we can see how they fit into a circle centered at (0,0). The hypotenuse of each triangle is 1, which will be the radius of the circle, making it the unit circle. First, we will place the 45° – 45° – 90° triangle in the circle, with one side on the positive x-axis as shown. a. First, label the length of the 2 remaining sides of the triangle according to what you found in problem 1. ( , b. Then, fill in the coordinates of the point on the circle where the vertex of the triangle meets the circle. 45 c. How are the side lengths of the triangle related to the coordinates?
3. Now that we have determined the length of each side of the special triangles, we can see how they fit into a circle centered at (0,0). The hypotenuse of each triangle is 1, which will be the radius of the circle, making it the unit circle. First, we will place the 45° – 45° – 90° triangle in the circle, with one side on the positive x-axis as shown. a. First, label the length of the 2 remaining sides of the triangle according to what you found in problem 1. ( , b. Then, fill in the coordinates of the point on the circle where the vertex of the triangle meets the circle. 45 c. How are the side lengths of the triangle related to the coordinates?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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