Answered

classify what type of triangle these three points form. Choose from equilateral, isosceles or scalene. F(-2,-1),T(2,2) and M(6,-1)​

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SOLUTION

First , We will solve for the distance between each vertices using the distance formula.

Point F to Point T

  • D = √(x2-x1)²+(y2-y1)²
  • D = √(2-(-2))²+(2-(-1))²
  • D = √(2+2)²+(2+1)²
  • D = √(4)²+(3)²
  • D = √16+9
  • D = √25
  • D = 5 units

Point T to Point M

  • D = √(x2-x1)²+(y2-y1)²
  • D = √(6-2)²+(-1-2)²
  • D = √(4)²+(-3)²
  • D = √16+9
  • D = √25
  • D = 5 units

Point M to Point F

  • D = √(x2-x1)²+(y2-y1)²
  • D = √(-2-6)²+(-1-(-1))²
  • D = √(-2-6)²+(-1+1)²
  • D = √(-8)²+(0)²
  • D = √64 + 0
  • D = √64
  • D = 8 units

Now , We knew that the sides are 5 , 5 and 8 units. And When 2 sides are equal it is an example of an isosceles triangle.

ANSWER

  • Isosceles Triangle

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