Question

In the diagram, ABC is a triangle such that \(\angle ABC = 90^\circ\). A (1, 7) C (6, \textit{t}) B (3, 5) Find (a) the value of \textit{t}, (Ans: 8) [2 marks] (b) the area of triangle ABC, (Ans: 6) [2 marks] (c) the perpendicular distance from B to AC, (Ans: 2.353) [3 marks] (d) the equation of the straight line that passes through point B and perpendicular to the straight line AC. (Ans: y = -5x + 20) [3 marks]

          In the diagram, ABC is a triangle such that \(\angle ABC = 90^\circ\).
A (1, 7)
C (6, \textit{t})
B (3, 5)
Find
(a) the value of \textit{t},
(Ans: 8) [2 marks]
(b) the area of triangle ABC,
(Ans: 6) [2 marks]
(c) the perpendicular distance from B to AC,
(Ans: 2.353) [3 marks]
(d) the equation of the straight line that passes through point B and perpendicular to the straight line AC.
(Ans: y = -5x + 20) [3 marks]

In the diagram, ABC is a triangle such that ∠ ABC = 90^∘.
A (1, 7)
C (6, t)
B (3, 5)
Find
(a) the value of t,
(Ans: 8) [2 marks]
(b) the area of triangle ABC,
(Ans: 6) [2 marks]
(c) the perpendicular distance from B to AC,
(Ans: 2.353) [3 marks]
(d) the equation of the straight line that passes through point B and perpendicular to the straight line AC.
(Ans: y = -5x + 20) [3 marks]

Added by Devin R.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

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In the diagram, ABC is a triangle such that ZABC = 90? C (6 , B (3,5) Find (a) the value of (Ans: 8) [2 marks] (b) the area of triangle ABC, (Ans 6) [2 marks] (c) the perpendicular distance from B to AC, (Ans: 2.353) [3 marks] (d) the equation of the straight line that passes through point B and perpendicular to the straight line AC (Ans: Sx 20) [3 marks]