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March 30, 2015

March 30, 2015

Posted by **Ginny** on Sunday, April 24, 2011 at 4:40pm.

Find the coordinates of the centroid.

Find the coordinates of the circumcenter.

Find the coordinates of the orthocenter.

Find the equation of the line.

- geometry -
**Henry**, Monday, April 25, 2011 at 5:37pm1. P(1,2), Q(25,2), R(10,20).

X = (1+25+10) / 3 = 12.

Y = (2+2+20) / 3 = 8.

C(12,8). = Coordinates of Centroid.

2. SIDE PQ:

Xo = (1+25) / 2 = 13.

Yo = (2+2) / 2 = 2.

M(13,2).

m = (2-2) / (25-1) = 0/24 = 0.

m2 = -1/0 = Undefined = slope of perpendicular bisector(P.B.).

Eq1: X = 13 = Eq of P.B. of PQ = a ver line.

SIDE PR:

Xo = (1+10) / 2 = 5.5.

Yo = (2+20) / 2 = 11.

M(5.5,11).

m = (20-2) / (10-1) = 2.

m2 = -1/2 = slope of P.B. of PR.

Y = (-1/2)*5.5 + b = 11,

-2.75 + b = 11,

b = 11 + 2.75 = 13.75.

Eq2: Y = -X/2 + 13.75 = P.B. OF PR.

Substitute 13 for X:

Y = -13/2 + 13.75 = 7.25.

C(13,7.25).=Coordinates of circumcenter

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