SOLUTION: Analytic Geometry 13.a) Draw a triangle with vertices P(-2, -2), Q(2, 4), and R(8, 0). b) Show algebraically that PQR is a right triangle. c) Is PQR also an isosceles trianlge?

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Question 200409: Analytic Geometry
13.a) Draw a triangle with vertices P(-2, -2), Q(2, 4), and R(8, 0).
b) Show algebraically that PQR is a right triangle.
c) Is PQR also an isosceles trianlge? Use algebraic reasoning to justify yopur answer.
Can you please help me with this question and thankss alott?!#@##

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
find the length between each of the three sets of two points
Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:



Thus in our case, the required distance is



For more on this concept, refer to Distance formula.

Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:



Thus in our case, the required distance is



For more on this concept, refer to Distance formula.

Solved by pluggable solver: Distance between two points in two dimensions
The distance (denoted by d) between two points in two dimensions is given by the following formula:



Thus in our case, the required distance is



For more on this concept, refer to Distance formula.


Now use Pathogrean theorem. If then it is a right triangle
If two side are the same length, then it is isocelese

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