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
Algebra ->
Quadratic Equations and Parabolas
-> 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
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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 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.
