In plane 2
Triangle ABC lies in the plane with a right angle at vertex C, where A(1, 2), B(5, 2), C(x, x+1), and x > −1.
a) Determine the value of x.
b) Determine the coordinates of point M, the midpoint of segment AB.
c) Prove that vectors AB and CM are perpendicular.
d) Determine the size of angle CAB.
e) Calculate the perimeter of triangle ABC.
Your answer:
a) Determine the value of x.
b) Determine the coordinates of point M, the midpoint of segment AB.
c) Prove that vectors AB and CM are perpendicular.
d) Determine the size of angle CAB.
e) Calculate the perimeter of triangle ABC.
Your answer:
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You need to know the following knowledge to solve this word math problem:
geometryalgebraplanimetrygoniometry and trigonometryUnits of physical quantitiesGrade of the word problem
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