Question

find type of triangle formed by points A(-5,6),B(-4,-2),C(7,5)

Answer 1

triangle formed by these points is scalene triangle

Answer 2

DISTANCE AB:A(-5,6);B(-4,-2)
x1=-5,y1=6,x2=-4,y2=-2
by distance formula
AB=√(x2-x1)^2+(y2-y1)^2
substiuting the values we get
AB=√65
BC:B(-4,-2) C(7,5)
x1=-4y1=-2,x2=7,y2=5
substituting these values in the distance formula we get
BC=√170
similarly,AC:A(-5,6),C(7,5)
x1=-5,y1=6,x2=7,y2=5
substituting these values in the distace formula
AC=√145
IN triangle ABC
AB=√65,BC=√170, AC=√145
THE TYPE OF TRIANGLE IS
SCALENE TRIANGLE
OK!