ivaniah0807 ivaniah0807
  • 08-05-2020
  • Mathematics
contestada

All sides of quadrilateral ABCD are tangent to circle P.
What is the perimeter of the quadrilateral below?
units

All sides of quadrilateral ABCD are tangent to circle P What is the perimeter of the quadrilateral below units class=

Respuesta :

Newton9022 Newton9022
  • 15-05-2020

Answer:

42 Units

Step-by-step explanation:

Theorem

Tangent to a circle from the same point are equal.

Let the point of tangency be P,Q, R and S as labelled in the attached diagram.

By the above theorem,

BP=BQ=8 Units

AP=AS=4 Units

DS=DR=5 Units

CR=CQ=4 Units

Therefore:

AB=12 Units

BC=12 Units

CD=9 Units

AD=9 Units

Perimeter=12+12+9+9=42 Units

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