Question

Triangle having vertices (-2,1) (2,-2)

(5,2) is

(a) Equilateral triangle

(b) Right Angle Triangle

(c) Isosceles Right Angle Triangle

(d) none​

Answer 1

Answer:

(d) none

Step-by-step explanation:

To prove with distance formula

Let triangle be ABC

sideAB=√(X2-X1)+(Y2-Y1)

sideAB=√(2+2)+(-2-1)

sideAB=√4-3

sideAB=√7

side BC=√(X2-X1)+(Y2-Y1)

sideBC=√(5-2)+(2+2)

sideBC=√(3+4)

sideBC=√7

sideAC=√(X2-X1)+(Y2-Y1)

sideAC=√(-2-5)+(1-2)

sideAC=√-7-1

sideAC=√8 iota

ABC is an isosceles Triangle but not a Right angled triangle

Since √7 ^2 +√7 ^2≠√8 ^2

Therefore answer is (D) none