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3 years ago

PLEASE HELP THIS IS A TIMED QUESTION ON A QUIZ!!!

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

a) 11, d) 25, e) 14, b) 25, c) 28, f) 33

Step-by-step explanation:

<h3>Given</h3>

ΔBDF, with H is the centroid of BDF, DF = 50, CF = 42, and BH = 22

HE , DE , CH, EF, HF, BE

<h3>Solution</h3>

As per definition of the centroid, the points C, E and G are midpoints of respective sides and the length of short and long distances from the centroid have ratio of 1/3 and 2/3 of median

a) HE = 1/2BH = 1/2(22) = 11
d) DE = 1/2DF = 1/2(50) = 25
e) CH = 1/3CF = 1/3(42) = 14
b) EF = DE = 25
c) HF = 2/3CF = 2/3(42) = 28
f) BE =BH + HE = 22 + 11 = 33

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