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scoray [572]
3 years ago
9

Urgent Help needed w/ right triangle trig

Mathematics
1 answer:
Svetllana [295]3 years ago
3 0
It is clearly understood from the image that LPNM is a square.

Let the side of the square be 'a' units.

Then by Pythagorean theorem.

{c}^{2}  =  {a}^{2}  +  {a}^{2}  \\  \\  {c}^{2}  = 2 {a}^{2}
Now taking square root on both side we get ;

c =  \sqrt{2} a
Now pluging the value of C in the above equation we get ;

12 =  \sqrt{2} a \\  \\ a =  \frac{12}{ \sqrt{2} }  = 6 \sqrt{2}
Therefore LP = 6√2 units.
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