Explanation Given Info: The vertices of the given triangle are ( x 1 , y 1 ) = ( 2 , 1 ) , ( x 2 , y 2 ) = ( 5 , 1 ) & ( x 3 , y 3 ) = ( 2 , 3 ) Formula Used: Area of the polygon with vertices ( x 1 , y 1 ) , ( x 2 , y 2 ) ,……. ( x n , y n ) is equal to 1 2 ∑ i = 1 n x i y i + 1 − x i + 1 y i Calculation: Using the formula for area of polygon the area of the given triangle is given by, A = 1 2 ∑ i = 1 3 x i y i + 1 − x i + 1 y i = 1 2 [ ( To determine b) To compute the area of the given polygon.

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 18.1, Problem 37E

To determine

a)

To compute the area of the given triangle and to check the result using geometry.

To determine

b)

To compute the area of the given polygon.

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Chapter 18.1, Problem 36E

Chapter 18.1, Problem 38E

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Chapter 18 Solutions

CALCULUS (CLOTH)

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a) To compute the area of the given triangle and to check the result using geometry.

Solution Summary: The author explains how the formula for area of polygons and from geometry is used to calculate the triangle's area.