Answer: 6,8 and 10
Step-by-step explanation:
To find the length , all we need to find is the distance between each point ,
the formula for calculating distance between two points is given by :
D = [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}[/tex]
Let the points be :
A ( -5,-1)
B(-5,5)
C(3,-1)
Calculating the length AB , we have
D1 = [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}[/tex]
D1 = [tex]\sqrt{(-5+5)^{2}+(5+1)^{2}}[/tex]
D1 = [tex]\sqrt{36}[/tex]
D1= 6
Calculating the length AC , we have
D2 = [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}[/tex]
D2 = [tex]\sqrt{(3+5)^{2}+(-1+1)^{2}}[/tex]
D2 = [tex]\sqrt{64}[/tex]
D2 = 8
Calculating the length BC , we have
D3 = [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}[/tex]
D3 = [tex]\sqrt{(3+5)^{2}+(-1-5)^{2}}[/tex]
D3 = [tex]\sqrt{100}[/tex]
D3 = 10
Therefore ,the length of the sides of the triangle are 6,8 and 10
