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Allisa [31]
3 years ago
8

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

so

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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WITCHER [35]
Write the coeeficientes of the polynomial in order:

  | 1   - 5   6   - 30
  |
  |
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------------------------

After some trials you probe with 5

   | 1   - 5       6     - 30
   |
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5 |        5      0       30
-----------------------------
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Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

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