3 years ago

Calculate the perimeter

Mathematics

1 answer:

storchak [24]3 years ago

7 0

Answer:

The perimeter of triangle ABC is 146 units

Step-by-step explanation:

we know that

The segment AB, AC and BE are tangent to the circle G

The circle G is an inscribed circle

The point G is the incenter of the inscribed circle within the triangle

therefore

AE=AD

BF=BE

CD=CF

we have

AB=56 units

BE=16 units

CD=17 units

Find the value of AE

AE=AB-BE

substitute the given values

AE=56-16=40 units

Find the perimeter

The perimeter of triangle ABC is

P=2[AE+BE+CD]

substitute

P=2[40+16+17]=146 units

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