SOLUTION: Method the Substitution 14. The following three lines intersect to form a triangle. y=x+1 2x+y=4 x+y=5 a) Find the coordinates of each vertex. b) Is this a right triangle? Ex

Question 181747: Method the Substitution
14. The following three lines intersect to form a triangle.
y=x+1
2x+y=4
x+y=5
a) Find the coordinates of each vertex.
b) Is this a right triangle? Explain how you know.
Thank you very muchhhhhhhhhh pleaseeeeeeeeeee
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You have three pairs of equations, equations 1 and 2, equations 2 and 3, and equations 1 and 3. Solve each system for the point of intersection. The three solutions will be your vertices.

If it is a right triangle, then two of the sides will be perpendicular. Perpendicular lines have slopes that are negative reciprocals of each other. That is to say:

Put all three of your equations in slope-intercept form (

). If any pair of slope numbers has the negative reciprocal arrangement, then those two lines are perpendicular and the triangle is a right triangle. Otherwise, it is not a right triangle.

John

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