Show That the Points Form the Vertices of the Indicated $( 5,9 ) , ( 1,4 ) , ( 6,8 )$

question 113

Multiple Choice

Show that the points form the vertices of the indicated polygon. Isosceles triangle:
$( 5,9 ) , ( 1,4 ) , ( 6,8 )$

• A) Distances between the points: \(\sqrt { 19 } , \sqrt { 41 } , \sqrt { 2 }\)
• B) Distances between the points: \(\sqrt { 41 } , \sqrt { 41 } , \sqrt { 2 }\)
• C) Distances between the points: \(\sqrt { 37 } , \sqrt { 41 } , \sqrt { 2 }\)
• D) Distances between the points: \(\sqrt { 26 } , \sqrt { 41 } , \sqrt { 2 }\)
• E) Distances between the points: \(\sqrt { 43 } , \sqrt { 41 } , \sqrt { 2 }\)

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Definitions:

\(f ( x )\)

Represents a function of x, a way to show the relationship between x (input) and f(x) (output) in mathematical terms.

Surface Area

The total area of the exterior surface of a three-dimensional object.

Cube

A three-dimensional solid object bounded by six square faces or sides, with three meeting at each vertex.

Length

The measurement of something from end to end, typically considered the greatest dimension of an object.