virkohli695
virkohli695 virkohli695
  • 12-05-2020
  • Mathematics
contestada

20. Find the area of a circle inscribed in a 9-12-15 triangle.
(Hint: What kind of triangle is this?)

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altavistard
altavistard altavistard
  • 12-05-2020

Answer:

A = 176.7 units²

Step-by-step explanation:

Put the hint to use.  Do these side lengths reflect the Pythagorean Theorem?  

9^2 + 12^2 = 15^2?

81 + 144 = 225?  YES

Therefore, this is a right triangle, and the diameter is 15 units.

Thus, the radius is 15/2 units, and the area is A = πr², or

A = π(15/2 units)² = (225/4)π units².  Using 3.14 for π, we get:

A = 176.7 units²

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Аноним Аноним
  • 16-05-2020

Answer:

Step-by-step explanation:

Answer Link

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