Question

check whether vertices of isocles triangle are not if (5,-2),(6,4),(7,-2)​

Answer 1

Answer:

(5 -2) (6 4) and (7 -2) are the vertices of an isosceles triangle

Step-by-step explanation:

Let  A ( 5 , -2) , B (6 ,  4), C ( 7 , -2)  be the vertices

Length of each sides

AB =√{(6-5)^2 + (4 -(-2))^2}  = √{1^2 + 6^2}  = √{1 + 36}  =√{37}

AC =√{(7-5)^2 + (-2 -(-2))^2}  = √{2^2 + 0^2}  =√{4 + 0}  = √{4} = 2

BC =√{(7-6)^2 + (-2 -4)^2}  = √{1^2 + (-6)^2}  = √{1 + 36}  = √{37}

AB = BC = √37

Hence verified that these vertices are of an isosceles triangles

hope this helps...