TS EAMCET · Maths · Three Dimensional Geometry
If the extremities of a diagonal of a square are \((1,2,3)\) and \((2,-3,5)\), then its side is of length
- A \(\sqrt{6}\)
- B 15
- C \(\sqrt{15}\)
- D 3
Answer & Solution
Correct Answer
(C) \(\sqrt{15}\)
Step-by-step Solution
Detailed explanation
Let the side of the square be a. Then, \( \begin{aligned} A C & =\sqrt{(2-1)^2+(-3-2)^2+(5-3)^2} \\ & =\sqrt{1+25+4}=\sqrt{30} \end{aligned} \) Now, \(\quad A B^2+B C^2=A C^2\)…
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