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Umnica [9.8K]
3 years ago
11

Find the center and the radius of the circle with the equation:

Mathematics
1 answer:
zmey [24]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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A right triangle has leg lengths of 9 units and 12 units. Write an equation that can be
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<h2>The Pythagorean Theorem</h2>

The Pythagorean Theorem: a^2+b^2=c^2

  • <em>a</em> and <em>b</em> are the two legs in a right triangle
  • <em>c</em> is the hypotenuse (the longest side of a right triangle; opposite the 90° angle
  • <em>*keep in mind that this theorem applies only to right triangles</em>

<h2>Solving the Question</h2>

We're given:

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  • Hypotenuse = <em>c</em>

<em />

Plug these measurements into the Pythagorean theorem:

a^2+b^2=c^2\\9^2+12^2=c^2

⇒ Combine like terms:

81+144=c^2\\c^2=225

<h2>Answer</h2>

c^2=225

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