👤

Determine whether the triangle with vertices R(-3,2), S(6,5) and T(3,1) is isosceles, equilateral or scalene​
show your solution


Sagot :

SOLUTION

First , Finding for the distance between each vertices by using the distance formula.

Point R to Point S

  • D = √(x2-x1)²+(y2-y1)²
  • D = √(6-(-3))²+(5-2)²
  • D = √(6+3)²+(5-2)²
  • D = √(9)²+(3)²
  • D = √81+9
  • D = √90
  • D = 3√10 units

Point S to Point T

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

Point T to Point R

  • D = √(x2-x1)²+(y2-y1)²
  • D = √(-3-3)²+(1-2)²
  • D = √(-6)²+(-1)²
  • D = √36+1
  • D = √37 units

Remember that scalene triangle don't have thesame sides.And based on what we solved , they are not thesame.

ANSWER

  • Scalene Triangle

=======================[tex]\overbrace{ \underbrace{ \tt{} \purple{ \: \: Stay \: safe \: and \: God \: bless \: you! \: \: }}}[/tex]