SOLUTION: triangle ABC has vertices at A(7,-4) B(-1,2) C(5,-6). determine whether the triangle has three, two, or no sides that are equal in length

Question 33467This question is from textbook
: triangle ABC has vertices at A(7,-4) B(-1,2) C(5,-6). determine whether the triangle has three, two, or no sides that are equal in length
d= distance fromula This question is from textbook

Answer by mukhopadhyay(490) (Show Source): You can put this solution on YOUR website!
The vertices are at A(7,-4); B(-1,2); C(5,-6);
Length AB = Distance between (7,-4) and (-1,2) = Sqrt(64+36) = 10;
Length BC = Distance between (-1,2) and (5,-6) = Sqrt(64+36) = 10;
Length CA = Distance between (7,-4) and (5,-6) = Sqrt(4+4) = 2 sqrt(2);
Answer: The traingle has two equal sides.

RELATED QUESTIONS
A triangle ABC has its right angle at C and the vertices A(3, 8) and B(9, 5) . If no... (answered by ikleyn,math_helper)

GIVEN: triangle ABC has vertices A(2,1) B(7,4) and C(4,-1) triangle DEF has vertices... (answered by solver91311)

Two sides and an angle are given below. Determine whether the given information results... (answered by KMST)

Triangle abc has vertices at a(-2,-1) , b (4,6),... (answered by Alan3354)

Triangle ABC has vertices A(0,4), B(1,2), and C(4,6). Determine whether triangle ABC is a (answered by khwang)

Triangle ABC has vertices A(-2, -3), B(2, 5), and C(6, -7). Find the circumcentre and the (answered by Edwin McCravy)

I have two questions. 1. Find the area of triangle ABC if A=56 degrees, b=20 ft, and... (answered by Alan3354,jojo14344)

1. Two angles of a triangle measure 15� and 85 �. What is the measure for the third... (answered by Fombitz)

An equilateral triangle has sides of equal length. Determine whether the triangle with... (answered by richwmiller)