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Using the midsegments of the triangle in the image below, what is the perimeter of

АВС?

Give your answer as just a number.

Please help I’m desperate. I just don’t get it.

Using The Midsegments Of The Triangle In The Image Below What Is The Perimeter Of АВС Give Your Answer As Just A Number Please Help Im Desperate I Just Dont Get class=

Sagot :

MrRoyal

The midsegment of a triangle divides the side lengths of the triangle into equal lengths.

The perimeter of triangle ABC is 36 units

Because the inner triangle forms the midsegment of the bigger triangle, then:

[tex]\mathbf{AB = DB}[/tex]

[tex]\mathbf{BE = EC}[/tex]

[tex]\mathbf{A F = FC}[/tex]

Where:

[tex]\mathbf{DB =6}[/tex]

[tex]\mathbf{FC =7}[/tex]

[tex]\mathbf{EC =5}[/tex]

So, we have:

[tex]\mathbf{AB = DB = 6}[/tex]

[tex]\mathbf{BE = EC = 5}[/tex]

[tex]\mathbf{A F = FC = 7}[/tex]

The perimeter of the triangle, is then calculated using:

[tex]\mathbf{Perimeter = AB + BC + AC}[/tex]

Split

[tex]\mathbf{Perimeter = AB+ DB + BE + EC + A F + FC}[/tex]

Substitute known values

[tex]\mathbf{Perimeter = 6+ 6+ 5+ 5+ 7+ 7}[/tex]

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle ABC is 36 units

Read more about perimeters at:

https://brainly.com/question/3666395

View image MrRoyal
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