minstcordell5512 minstcordell5512
  • 01-06-2021
  • Mathematics
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Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth

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abidemiokin
abidemiokin abidemiokin
  • 02-06-2021

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

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