Triangle 69144

The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle?

Correct answer:

r =  4:9

Step-by-step explanation:

S = 2a h  h2 = 2+12 h a2 = 2+12 a S2 = 2a2 h2 = 232 a 32 h = (2/3)2   S  r = S2:S  r=(2/3)2=940.4444=4:9

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