# If P (0, 1, 2), Q

Given: Points are P(0, 1, 2), Q(4, -2, 1) and O(0, 0, 0)

To check: the value of POQ

Formula used:

Distance between any two points (a, b, c) and (m, n, o) is given by,

Therefore,

Distance between P(0, 1, 2) and Q(4, -2, 1) is PQ,

Distance between Q(4, -2, 1) and O(0, 0, 0) is QO,

Distance between P(0, 1, 2) and O(0, 0, 0) is PO,

Now,

PO2 = 5

QO2 = 21

PQ2 = 26

Clearly,

PO2 + QO2 = PQ2

A right-angled triangle is a triangle which satisfies Pythagoras Theorem

These points satisfy Pythagoras Theorem

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