# Do the points (3,2),(-2,-3),and (2,3) form a triangle? If so, name type of triangle formed.

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so AB² = 50. Similarly, AC² = 1² + 1² = 2², so right away we see that the triangle isn't equilateral. Meanwhile BC² = (-2 -2)² + (-3 -3)² = 16 + 36 = 52 - sightly more than AB². So it's not isosceles either.

Finally, we should check to see if it's right-angled.

The vector AB is (-5, -5); AC is (-1, 1); and BC = (4, 6).

Notice that AB and AC are indeed perpendicular, meaning that the triangle has a right angle at A.

b=(-2,-3)

c=(2,3)

distance²=(x2-x1)²+(y2-y1)²

ab²=(3--2)²+(2--3)²

= 25+25

ab=√50

ac²=(3-2)²+(2-3)²

=1+1

ac=√2

bc²=(2--2)²+(3--3)²

= 16+36

bc= √52

if this triangle is a right angled triangle..

bc²=ab²+ac²(pythagorus

52=50+2

so it is a right angled triangle