Write the area A of an equilateral triangle as a function of the length s of its sides. STEP 1: Find the base of the equilateral triangle in terms of s. b = STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s. h = √ 2 – 2 = STEP 3: Recall the formula for the area of a triangle: A = bh/2. Use your results from Step 1 and Step 2 to write A in terms of s.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Write the area A of an equilateral triangle as a function of the length s of its sides.

STEP 1: Find the base of the equilateral triangle in terms of s.
b =
 
 
 
STEP 2: The height of an equilateral triangle can be found via the Pythagorean theorem. Use this information to find h in terms of s.
h = √      2 –      2 =
 
 
 
STEP 3: Recall the formula for the area of a triangle: A = bh/2. Use your results from Step 1 and Step 2 to write A in terms of s.
A =
 
 
 
Expert Solution
Step 1

Given A = area of the equilateral triangle s = side length b = base h = height 

 

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