Show That the Points Form the Vertices of the Indicated $\sqrt { 37 } , \sqrt { 200 } , \sqrt { 288 }$

question 244

Multiple Choice

Show that the points form the vertices of the indicated polygon.
Isosceles triangle: (7, -6) , (9, 8) , (-5, 6)

• A)Distances between the points: \(\sqrt { 37 } , \sqrt { 200 } , \sqrt { 288 }\)
• B)Distances between the points: \(\sqrt { 200 } , \sqrt { 200 } , \sqrt { 288 }\)
• C)Distances between the points: \(\sqrt { 26 } , \sqrt { 200 } , \sqrt { 288 }\)
• D)Distances between the points: \(\sqrt { 43 } , \sqrt { 200 } , \sqrt { 288 }\)
• E)Distances between the points: \(\sqrt { 19 } , \sqrt { 200 } , \sqrt { 288 }\)

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Definitions:

Objective Function

A mathematical function that represents the goal or objective of an optimization problem, typically to maximize or minimize some quantity.

Linear Equation

An algebraic equation that represents a straight line, typically in the form y = mx + c, where m is the slope and c is the y-intercept.

Graphical Method

A visual representation technique, often used in operations research and management to solve linear programming problems and analyze data.

Maximizing Problems

Issues or scenarios in optimization where the goal is to find the maximum value of a function subject to certain constraints, often encountered in mathematics and economics.