SOLUTION TO TEST PROBLEM #4:
We know that the centroid makes 3 triangles ABH, ACH, BCH with the same areas.
Area of ABH=BCH
ABH=40 cm²
(AB*GH)½=40 cm²
(10*GH)½=40 cm²
10*GH=80 cm²
GH=8 cm
ABH, ACH, BCH with the same areas.ABH, ACH, BCH with the same areas.ABH=BCHABH=40
cm²