Answer:
see explanation
Explanation:
On each median, the distance from the vertex to the centroid is twice as long as the centroid to the midpoint , that is
BO = 2 × OY = 2 × 12 = 24
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the altitude DB is at right angles to AC , then ∠ CBD = 90°
sum the 3 angles in Δ BCD and equate to 180
10x - 14 + 4x - 8 + 90 = 180
14x + 68 = 180 ( subtract 68 from both sides )
14x = 112 ( divide both sides by 14 )
x = 8