Answer:
The measure of sides of triangle with given points are
QR = 3[tex]\sqrt{5}[/tex] unit
RT = 9[tex]\sqrt{2}[/tex] unit
TQ = [tex]\sqrt{13}[/tex] unit
Step-by-step explanation:
Given as :
The coordinate of Triangle QRT as :
Q = ( - 2 , - 1 )
R = ( 1 , 5 )
T = ( - 8 , - 4 )
Now , The Distance between the points can be measure as :
QR = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
Or, QR = [tex]\sqrt{(1+2)^{2}+(5+1)^{2}}[/tex]
Or, QR = [tex]\sqrt{(3)^{2}+(6)^{2}}[/tex]
Or, QR = [tex]\sqrt{45}[/tex] = 3[tex]\sqrt{5}[/tex] unit
Similarly
RT = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
Or, RT = [tex]\sqrt{(-8-1)^{2}+(-4-5)^{2}}[/tex]
Or, RT = [tex]\sqrt{(-9)^{2}+(-9)^{2}}[/tex]
Or, RT = [tex]\sqrt{162}[/tex] = 9[tex]\sqrt{2}[/tex] unit
And
TQ = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}[/tex]
Or, TQ = [tex]\sqrt{(-2+8)^{2}+(-1+4)^{2}}[/tex]
Or, TQ = [tex]\sqrt{(2)^{2}+(3)^{2}}[/tex]
Or, TQ = [tex]\sqrt{13}[/tex] unit
Hence The measure of sides of triangle with given points are
QR = 3[tex]\sqrt{5}[/tex] unit
RT = 9[tex]\sqrt{2}[/tex] unit
TQ = [tex]\sqrt{13}[/tex] unit Answer
