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3. The vertices of a triangle are A(1, -2), B(4, 4) and C(-3, 0). (a) Find the distance between A and B. (b) Find the gradient of the line through A and B. (c) Find the equation of the line passing through point C and perpendicular to the line through AB. (d) Prove that triangle ABC is a right-angled triangle.

3. The vertices of a triangle are A(1, -2), B(4, 4) and C(-3, 0). (a) Find the distance between A and B. (b) Find the gradient of the line through A and B. (c) Find the equation of the line passing through point C and perpendicular to the line through AB. (d) Prove that triangle ABC is a right-angled triangle.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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3. The vertices of a triangle are A(1, -2), B(4, 4) and C(-3, 0). (a) Find the distance between A and B. (b) Find the gradient of the line through A and B. (c) Find the equation of the line passing through point C and perpendicular to the line through AB. (d) Prove that triangle ABC is a right-angled triangle.
Transcribed Image Text:3. The vertices of a triangle are A(1, -2), B(4, 4) and C(-3, 0). (a) Find the distance between A and B. (b) Find the gradient of the line through A and B. (c) Find the equation of the line passing through point C and perpendicular to the line through AB. (d) Prove that triangle ABC is a right-angled triangle.
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