What are the coordinates of the orthocenter of △xyz with vertices at x(−3, 3) , y(1, 3) , and z(−3, 0) ?

The othocenter of the triangle XYZ is (-3,3)

Step-by-step explanation:

The triangle itself is a Right-angled Triangle. A right-angled triangle  is a triangle in which one angle is a right angle (that is, a 90-degree angle). Therefore, the two sides of the triangle (except hypotenuse) is already an altitudes of the both sides. Altitude of the hypotenuse is also comes from the corner X. Therefore, three altitudes are meeting at one point X(-3,3) which is an othocenter.

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4