Question
Find the lengths of the sides of the triangle $P Q R$. Is it a right triangle? Is it an isosceles triangle?$P(2,-1,0), \quad Q(4,1,1), \quad R(4,-5,4)$
Step 1
The distance formula in 3D is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \] For points \( P(2, -1, 0) \) and \( Q(4, 1, 1) \), the length of \( PQ \) is: \[ PQ = \sqrt{(4 - 2)^2 + (1 - (-1))^2 + (1 - 0)^2} \] \[ PQ = \sqrt{2^2 + 2^2 + Show more…
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