Question

I need help.


Is Sam correct?

Answer 1

`SQ\\ot=2OM\\\\Sam\ is\ not\ Correct.`

Explanation:

Pythagorean Theorem: In a right triangle the square of longest side(hypotenuse) is equal to the sum of the squares of the other sides.

`In\ \triangle SQR\\\\Hypotenuse=SQ\\\\SQ^2=QR^2+RS^2\\\\SQ^2=6^2+12^2\\\\SQ^2=180\\\\SQ^2=36* 5\\\\SQ^2=6^2* 5\\\\SQ=6√(5)\approx 13.42`

`In\ \triangle OLM\\\\Hypotenuse=OM\\\\OL=LM=6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Sides\ of\ a\ square\\\\OM^2=OL^2+LM^2\\\\OM^2=6^2+6^2\\\\OM^2=72\\\\OM=6√(2)\approx 8.49`

`2* OM=16.97>SQ\\\\\Rightarrow SQ\\ot=2OM\\\\Sam\ is\ not\ Correct`