Question

Use the distance formula to decide whether PO = QR

P (2, 4)
Q(4, 10)
R(0.6)
i need help

Answer 1

Explanation:

Distance =
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

PQ =
`\sqrt{(4-2)^(2)+(10-4)^(2)}`

`=\sqrt{(2)^(2)+(6)^(2)}\\\\=√(4+36)\\\\=√(40)=√(2*2*2*5)\\\\=2√(10)`

QR =
`\sqrt{(0-4)^(2)+(6-10)^(2)}`

`=\sqrt{(-4)^(2)+(-4)^(2)}\\\\=√(16+16)\\=√(32)\\\\=√(2*2*2*2*2)\\\\=2*2√(2)\\\\=4√(2)`

PQ ≠ QR