The medians of TUV are TX, UY, and VW. They meet at a single point Z.
1 answer:
Answer:
TZ = 10 units
UY = 12 units
ZW = 11 units
Step-by-step explanation:
Point Z is the centroid of ΔTUV.
Since, centroid of a triangle is located on each median so that it divides each median in the ratio of 2 : 1
Therefore, TZ = 2(ZX)
TZ = 2(5) = 10 units
UY = UZ + ZY
= UZ +
=
=
= 12 units
ZW =
=
= 11 units
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Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
