b) Determine the gradient of each side of the triangle c) Using your answers in a) and b), justify that this is a non-right angled Scalene triangle Page 10 of 11
b) Determine the gradient of each side of the triangle c) Using your answers in a) and b), justify that this is a non-right angled Scalene triangle Page 10 of 11
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![A triangle has vertices at A(7,-1), B(-9, 5) and C(-1, -6)?
a) Determine the length of each side of the triangle
b) Determine the gradient of each side of the triangle
c) Using your answers in a) and b), justify that this is a non-right angled Scalene triangle
Page 10 of 11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faaa10c26-cbee-4bce-8288-4cc4a3c3b941%2Fa8f4dbb6-d212-4d85-945d-1180aa3dfdfb%2Fmfd25fa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A triangle has vertices at A(7,-1), B(-9, 5) and C(-1, -6)?
a) Determine the length of each side of the triangle
b) Determine the gradient of each side of the triangle
c) Using your answers in a) and b), justify that this is a non-right angled Scalene triangle
Page 10 of 11
![d) A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite
side of the vertex. For a median AD, which extends from the vertex A to the midpoint on the
opposite side of the triangle.
[Triangle has vertices at A(7, -1), B(-9, 5) and C(-1, -6)]
i) Determine the coordinates of point D
ii) Does the point (0, -1) lie on the line AD? Justify your answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faaa10c26-cbee-4bce-8288-4cc4a3c3b941%2Fa8f4dbb6-d212-4d85-945d-1180aa3dfdfb%2F85gc18_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d) A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite
side of the vertex. For a median AD, which extends from the vertex A to the midpoint on the
opposite side of the triangle.
[Triangle has vertices at A(7, -1), B(-9, 5) and C(-1, -6)]
i) Determine the coordinates of point D
ii) Does the point (0, -1) lie on the line AD? Justify your answer
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