Menkar (Alpha Ceti) is the alpha star in Cetus.
Cetus is a constellation, not a single star. Stars in the constellation can be from 8.73 (nearest) to 13,000 (furthest) light years away.
Adding to what Hilmas Zonneveld posted, Cetus is another constellation where Alpha (Menkar) is not the brightest star. Menacer is mag 2.4. The brightest is Beta Ceti, Deneb Kaitos or Diphda. Several stars are known as Deneb or have that word in their names. Deneb means 'tail'.
A remarkable variable star in the constellation Cetus (/ Ceti).
the brightest star in a constellation is called the alpha star
The constellation of Cetus is traditionally described as depicting a whale.
Beta Cancri is the brightest star in the constellation Cancer. Its common name is Altarf.
The constellation Cetus is visible during the month of November.
There is no star that is simply called "Alpha". There are several that have "alpha" in their name, for example Alpha Centauri, Alpha Cruxis, Alpha Canis Majoris, etc. - usually the brightest star in each constellation. Some stars such as Betelgeuse (Alpha Orionis) are not actually the brightest star in the constellation.
Alpha Centauri is the brightest star in the Centaurus constellation, the "Centaur".
The star Regulus, or Alpha Leonis, can be found in the constellation of Leo. It is the brightest star in the constellation.
The brightest star is The Persian (alpha alpha), with magnitude 3.11
It's in the constellation of Taurus, the brightest star in that constellation.