Question

In ΔABC; D,E,F are respectively the midpoints of BC, CA and AB. If the lengths of side AB, BC and CA are 17 cm,18 cm, 19 cm respectively. Find the perimeter of ΔDEF. ​

Answer 1

Answer:

AB = 7 cm, BC = 8 cm, AC = 9 cm In ∆ABC,

In a ΔABC, D, E and F are, respectively, the mid points of BC, CA and AB.

According to Midpoint Theorem: EF = 1/2BC, DF = 1/2 AC and DE = 1/2 AB

Now, Perimeter of ∆DEF = DE + EF + DF = 1/2 (AB + BC + AC) = 1/2 (7 + 8 + 9) = 12

Perimeter of ΔDEF = 12 cm

Step-by-step explanation:

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