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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 8.1, Problem 43E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding the Area of an Equilateral Triangle In Exercises 41-44, find the area of the equilateral triangle with sides of length s. See Example 4.

s = 3   cm

To determine

To calculate: The area of the equilateral triangle with sides of length s=3 cm.

Explanation

Given Information:

The side of the equilateral triangle s is 3 cm.

Formula used:

Pythagorean theorem for any right triangle is such that,

c2=a2+b2

Where, a, b are the two perpendicular sides of a triangle and c is the length of hypotenuse.

The area of the equilateral triangle is,

A=12bh

Where, h is the height or altitude of the triangle and b is the base of triangle.

Calculation:

Consider the side of the triangle, s=3 cm

The figure provided below shows the triangle of side 3 cm and height h.

From the Pythagorean theorem.

h2+(32 cm)2=(3 cm)2h2+34 cm2=3 cm2h2=3 cm2−34 cm2h2=94 cm2

Further solve the equation

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Sect-8.1 P-1CPSect-8.1 P-2CPSect-8.1 P-3CPSect-8.1 P-4CPSect-8.1 P-1SWUSect-8.1 P-2SWUSect-8.1 P-3SWUSect-8.1 P-4SWUSect-8.1 P-5SWUSect-8.1 P-6SWU
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Solve for the unknown and check each of the following combined operations equations. Round answers to 2 decimal...

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Consider the following data for two variables, x and y. x 9 32 18 15 26 y 10 20 21 16 22 a. Develop an estimate...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Explain what is meant by the concept that main effects and interactions are independent.

Research Methods for the Behavioral Sciences (MindTap Course List)

To inspect incoming shipments of raw materials, a manufacturer is considering samples of sizes 10, 15, and 19. ...

Statistics for Business & Economics, Revised (MindTap Course List)

Identify the statistical procedure used to determine a correlation for different types of data and explain what...

Research Methods for the Behavioral Sciences (MindTap Course List)

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