The length of the sides of the triangle QRT are;
QR = 3√5
RT = 9√2
TQ = 3√5
The formula for distance between two coordinates is;
D = √[(x₂ - x₁)² + (y₂ - y₁)²]
We are given the coordinates of the triangle QRT as;
Q = ( - 2 , - 1 )
R = ( 1 , 5 )
T = ( - 8 , - 4 )
Thus;
QR = √[(5 - (-1))² + (1 - (-2))²]
QR = √(3² + 6²)
QR = √45
QR = 3√5
Similarly;
RT = √[(-8 - 1)² + (-4 - 5)²]
RT = √(81 + 81)
RT = 9√2
Similarly, TQ is;
TQ = √[(-1 - (-4))² + (-2 - (-8))²]
TQ = √(9 + 36
TQ = √45
TQ = 3√5
Read more about distance between two coordinates at; https://brainly.com/question/7243416
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