tacogaming50
tacogaming50 tacogaming50
  • 15-05-2022
  • Mathematics
contestada

What's the square root of Pi times the c length of a right triangle with the a measurement of 12 and the b measurement of 10?

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versacci24
versacci24 versacci24
  • 15-05-2022

Answer:

[tex]2\sqrt{61\pi }[/tex]

Step-by-step explanation:

Let's find c by using the Pythagorean Theorem: [tex]10^2 + 12^2 = c^2[/tex] so [tex]c = \sqrt{10^2 + 12^2}[/tex]. I'm going to leave c like this so it is easier to multiply by [tex]\sqrt{\pi }[/tex]. [tex]c\sqrt{\pi } = \sqrt{10^2 + 12^2}\sqrt{\pi } = 2\sqrt{61\pi }.[/tex]

Hope this helped! :)

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