Answer:
Step-by-step explanation:
Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
PQ = [tex]\sqrt{(4-2)^{2}+(10-4)^{2}}[/tex]
[tex]=\sqrt{(2)^{2}+(6)^{2}}\\\\=\sqrt{4+36}\\\\=\sqrt{40}=\sqrt{2*2*2*5}\\\\=2\sqrt{10}[/tex]
QR = [tex]\sqrt{(0-4)^{2}+(6-10)^{2}}[/tex]
[tex]=\sqrt{(-4)^{2}+(-4)^{2}}\\\\=\sqrt{16+16}\\=\sqrt{32}\\\\=\sqrt{2*2*2*2*2}\\\\=2*2\sqrt{2}\\\\=4\sqrt{2}[/tex]
PQ ≠ QR
