In triangle ABC, AB = 8 cm, BC = 7 cm and AC = 6 cm.
D, E and F are the midpoints of AB, BC and CA respectively.
Determine the lengths of the sides of triangle DEF.
Answers
Answer:
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Given : triangle ABC, AB = 8 cm, BC = 7 cm and AC = 6 cm.
D, E and F are the midpoints of AB, BC and CA respectively.
To Find : the lengths of the sides of triangle DEF.
Solution:
line joining the mid-point of two sides of a triangle is equal to half the length of the third side
D, E are the midpoints of AB, BC
hence DE = AC/2 = 6/2 = 3 cm
F, E are the midpoints of CA, BC
hence EF = AB/2 = 8/2 =4 cm
D and F are the midpoints of AB and CA
=> DF = BC/2 = 7/2 = 3.5 cm
lengths of the sides of triangle DEF.
DE = 3 cm , EF = 4 cm , DF = 3.5 cm
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