Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given

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

To find

• HE , DE , CH, EF,  HF, BE

Solution

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