Beomie8idn
Answered

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B E overline F D If AB = 22 cm , BC = 24 cm and AC = 24 cm , what is the perimeter of ADEF? overline AB || overline EF , overline BC || overline DF and overline AC || overline DE . D, E and F are midpoints of overline AB , overline BC and overline AC respectively. 1. Refer to the figure at the right. IV. Solve the following:​

B E Overline F D If AB 22 Cm BC 24 Cm And AC 24 Cm What Is The Perimeter Of ADEF Overline AB Overline EF Overline BC Overline DF And Overline AC Overline DE D E class=

Sagot :

Lieareeidn

Answer:

35 cm

Step-by-step explanation:

From the question it is given that

AB = 22 cm, BC = 24 cm, AC = 24 cm

Find: the perimeter of ΔDEF

In ∆ABC,

D, E and F are the mid points of BC, CA and AB.

So, by midpoint theorem

EF = 1/2 BC,                                      

DF = 1/2 AC and DE = 1/2 AB            

Now, we find the perimeter of ΔDEF

So, Perimeter of ∆DEF = DE + EF + DF

= (1/2) AB + (1/2) BC + (1/2) AC

= 1/2 (AB + BC + AC)  

= 1/2(22 + 24 + 24)

= 1/2 (70)

= 35 cm

Hence, the perimeter of ΔDEF is 35 cm

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