Determine-distance-between-opposite-corners-of-a-cubic-room-of-dimention-x-units-

Question Number 6054 by Rasheed Soomro last updated on 11/Jun/16

D e t e r m i n e d i s t a n c e b e t w e e n

o p p o s i t e c o r n e r s o f a c u b i c

r o o m o f d i m e n t i o n x u n i t s .

Commented by Yozzii last updated on 11/Jun/16

l e n g t h o f d i a g o n a l o n o n e f a c e = x \sqrt{2} u n i t s

B y P h y t h a g o r e a n t h e o r e m, r e q u i r e d d i s t a n c e = \sqrt{{(x \sqrt{2})}^{2} + x^{2}} = x \sqrt{3}

I n 3 D c o o r d i n a t e s l e t o n e v e r t e x b e t h e o r i g i n

a n d a n o p p o s i t e v e r t e x b e (\begin{matrix} x \\ x \\ x \end{matrix}) .

\Rightarrow∣ (\begin{matrix} x \\ x \\ x \end{matrix}) ∣= \sqrt{x^{2} + x^{2} + x^{2}} = x \sqrt{3} .

Commented by Rasheed Soomro last updated on 11/Jun/16

{Th}^{a} nkS!

Answered by Yozzii last updated on 11/Jun/16

x \sqrt{3}

Facebook Tweet Pin