Answered: Heron's formula can be used to find the…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section: Chapter Questions

Problem 80CLR

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Question

Heron's formula can be used to find the area of a triangle if the lengths of the three sides are known. If the lengths of the three sides are a, b, and c units and the semiperimeter is s equals StartFraction a plus b plus c Over 2 EndFraction , then the area of the triangle is given by StartRoot s left parenthesis s minus a right parenthesis left parenthesis s minus b right parenthesis left parenthesis s minus c right parenthesis EndRoot. Use Heron's formula to find the areas of the right triangles with the sides given. a. 25 cm, 7 cm, 24 cm v

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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