Determine whether the points (10,-8) (3,6) and (-5,2) are the vertices of an equilateral
triangle
Answers
Answered by
2
Step-by-step explanation:
( x1 , y1 ) = 10,-8
(x2 ,y 2) = 3, 6
( x3 ,y 3 ) = -5,2
AB = √(x2- x1 )2 + (y2-y1)2
AB = √(3-10)2 + (6+8)2
AB = √ (-7)2 + (14)2
AB = √49+196
AB = √245
BC = √(-5-3)2 + (2-6)2
BC = √(-8)2 + (-4)2
BC = √64+16
BC = √80
CA = √(-5-10)2+(2+8)2
CA = √(-15)2+(10)2
CA = √ 225+100
CA = √325
AB +BC = CA
√245 + +√80 = √325
√325 = √325
yes , it is a equilateral triangle .
Similar questions