Explanation Given Information: It is provided an equilateral triangle. Formula Used: Area of a triangle is given by: A = 1 2 × b × h Where b and h are respectively the base and height of the triangle. Calculation : Since it is provided an equilateral triangle of side s Split the triangle into two in order to get two right angled triangles The altitude is represented by h Now solve for h by using the Pythagoras theorem: In Δ A B D apply Pythagoras Theorem ( B D ) 2 + ( A D ) 2 = ( A B ) 2 s 2 4 + h 2 = s 2 h 2 = s 2 − s 2 4 h 2 = 4

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 1.1, Problem 55E

To determine

To Express: The area of an equilateral triangle as a function of the length of a side and also to state its domain.

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Chapter 1.1, Problem 54E

Chapter 1.1, Problem 56E

Chapter 1 Solutions

Biocalculus

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

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To Express: The area of an equilateral triangle as a function of the length of a side and also to state its domain.

Solution Summary: The author explains that the area of an equilateral triangle is a function of the length of its side and to state its domain.

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To Express: The area of an equilateral triangle as a function of the length of a side and also to state its domain.

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Chapter 1 Solutions