   Chapter 8.1, Problem 7SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# In Exercises 3–6, let a and b represent the lengths of the legs, and let c represent the length of the hypotenuse, of a right triangle. Solve for the missing side length.Equilateral triangle: ( − 6 , 0 ) , ( 6 , 0 ) , ( 0 , 6 3 )

To determine

To prove: The provided points (6,0), (6,0) and (0,63) are the vertices of an equilateral triangle.

Explanation

Given Information:

The provided vertices of polygon are (6,0), (6,0) and (0,63).

Formula used:

If all length of three sides or all three internal angles of a polygon are equals, then the polygon is known as equilateral triangle.

Distance formula between two point,

d=(x2x1)2+(y2y1)2

Here, (x1,y1) and (x2,y2) are the two points in coordinate system.

Proof:

Draw the diagram for a polygon from the provided data,

From above diagram, calculate the distance between BC by the use of distance formula,

a=(6(6))2+(00)2=(12)2+(0)2=144=12

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