Show that the triangle with vertices A(1, 2), B(-2, -1), and C(-4, 4) is isosceles. We must first find the length of all three sides of the triangle by finding the distance between the vertices. d(A, B) = d(B, C) = d(A, C) = Therefore, the following conclusion can be reached. O AB and BC have the same length, so the triangle is isosceles. O AB and AC have the same length, so the triangle is isosceles. O BC and AC have the same length, so the triangle is isosceles. O All sides have the same length, so the triangle is isosceles. O All sides have different lengths, so the triangle is isosceles.
Show that the triangle with vertices A(1, 2), B(-2, -1), and C(-4, 4) is isosceles. We must first find the length of all three sides of the triangle by finding the distance between the vertices. d(A, B) = d(B, C) = d(A, C) = Therefore, the following conclusion can be reached. O AB and BC have the same length, so the triangle is isosceles. O AB and AC have the same length, so the triangle is isosceles. O BC and AC have the same length, so the triangle is isosceles. O All sides have the same length, so the triangle is isosceles. O All sides have different lengths, so the triangle is isosceles.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Show that the triangle with vertices
A(1, 2), B(−2, −1), and C(−4, 4)
is isosceles.
We must first find the length of all three sides of the triangle by finding the distance between the vertices.
d(A,B)
d(B,C)
d(A,C)
Therefore, the following conclusion can be reached
Transcribed Image Text:In this exercise we use the Distance Formula.
Show that the triangle with vertices A(1, 2), B(-2, -1), and C(-4, 4) is isosceles.
We must first find the length of all three sides of the triangle by finding the distance between the vertices.
d(A, B) =
d(B, C)
=
d(A, C) =
Therefore, the following conclusion can be reached.
O AB and BC have the same length, so the triangle is isosceles.
O AB and AC have the same length, so the triangle is isosceles.
BC and AC have the same length, so the triangle is isosceles.
O All sides have the same length, so the triangle is isosceles.
O All sides have different lengths, so the triangle is isosceles.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning