Answered: Zachary is given Triangle ABC, and is…

Name: Zachary is given Triangle ABC, and is instructed to construct a median
Uploaded: 2024-03-20T06:47:08.000Z
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Description: Zachary is given Triangle ABC, and is instructed to construct a median of the triangle. Zachary places his compass at C and draws two arcs on either side of AB. He then maintains the compass width and places the needle of the compass on A, drawing tw

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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Zachary is given Triangle ABC, and is instructed to construct a median of the triangle. Zachary places his compass at C and draws two arcs on either side of AB. He then maintains the compass width and places the needle of the compass on A, drawing two more arcs intersecting the previously drawn arcs. He draws a line through the point of intersection to find D, the midpoint of AB. Zachary then draws CD and declares that the median has been constructed. Is Zachary's construction accurate?

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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