Find the distance from point M (-1; 5) to the origin.
| May 16, 2021 | education
Let’s mark point M. on the coordinate axis.
Let’s draw the segments MK and MН to the ordinate and abscissa axes.
The desired distance OM forms a right-angled triangle OMK in which MK = 1 cm, OK = 5 cm.
Then, by the Pythagorean theorem, OM ^ 2 = OK ^ 2 – MK ^ 2 = 25 – 1 = 24.
ОМ = √24 = 2 * √6 cm.
Answer: From point M to the origin of coordinates 2 * √6 cm.
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