Use the distance formula to decide whether PO = QR P (2, 4) Q(4, 10) R(0.6) i need help

Question

Use the distance formula to decide whether PO = QR
P (2, 4)
Q(4, 10)
R(0.6)
i need help

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Khoii Minh 6 months 2021-07-23T14:46:57+00:00 1 Answers 10 views 0

Answers ( )

    0
    2021-07-23T14:48:19+00:00

    Answer:

    Step-by-step 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}}\\\\=\sqrt{4+36}\\\\=\sqrt{40}=\sqrt{2*2*2*5}\\\\=2\sqrt{10}

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

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

    PQ ≠ QR

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