Medians AX and BY of triangle ABC are perpendicular at point O. AX = 12 and BC = 10.
a. Find AO and BY
b. Find the length of median CZ
pls help!
+1694 Medians AX and BY of triangle ABC are perpendicular at point O. AX = 12 and BC = 10.
a. Find AO and BY
b. Find the length of median CZ
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The Median Theorem states that the medians of a triangle intersect at a point called the centroid that is two-thirds of the distance from the vertices to the midpoint of the opposite sides.
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If AX = 12, then AO = 2/3(AX), and OX = 1/3(AX) AO = 8 OX = 4
If OX = 4, and BX = 5, then BO = 3 (I'll let you find BY) 
CZ you can calculate using CX, OX, and ∠CXO. (∠CXO ≈ 143.13º)
