Answered: 5 сm 3 ст, (b) 6 ст

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

Chapter1: Introduction To Algebra

Section1.6: Translating Problems Into Equations

Problem 2E

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Question

Find and simplify the exact areas of the following triangle. Do not calculate

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°).

Expert Solution

Step 1

Given:

5 сm
3 cm
6 ст
Sides of triangle
а33ст
b%3D 5ст
с 3 бст

Step 2

Formula used:

Heron’s formula

Area of triangle s(s-a)(s-b)(s-c)
where
s semi-perimeter of triangle
a b+c
S =
2

Step 3

Semi-perimeter of triangle is given by

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