Explanation Formula: The area of an equilateral triangle (all sides congruent) can be found using the formula A = 3 4 s 2 Where s is the length of one side of the triangle. Calculation: Suppose a circle is inscribed in equilateral triangle. The radius of the circle is 7 in. Sketch the circle in equilateral triangle: The radius is the short side of a 30-60-90 triangle containing half of the base of the triangle and the apothem. Thus, we obtain: a = 7 Half of the base of the triangle = a 3 = 7 3 Since this is half of a side, we see that a whole side is s = 2 ( 7 3 ) = 14 3 in To find the area of an equilateral triangle: A = 3 4 s 2

Elementary Geometry for College Students

6th Edition

ISBN: 9781285195698

Author: Daniel C. Alexander, Geralyn M. Koeberlein

Publisher: Cengage Learning

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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°).

Chapter 8.CR, Problem 25CR

To determine

To find:

The area of the triangle.

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Chapter 8.CR, Problem 24CR

Chapter 8.CR, Problem 26CR

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Elementary Geometry for College Students

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