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Trig with the smiths

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Trig with the smiths
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  • The Smiths
  • Hello! we are Kayleigh and Danny Smith. We are looking for a new secret hide out! Kayleigh wants to bring her lamp that is 5ft tall, and Danny wants to bring the dog bed that is 3ft wide. Can you help us find a spot?
  • Make sure to round your answer to the nearest 10th!
  • 5ft
  • 5.5ft
  • x = 2.3
  • Danny look! it looks like there is a secret hide out under that tree! let's do the math and see if it will fit the dog bed!
  • I guess its too small for the dog bed.
  • 5^2 + x^2 = 5.5^225 + x^2 = 30.35 -25 -25 x^2 = 5.25 √ x^2 = √5.25 x=2.3
  • oh! look Kayleigh! a cave! That seems like a perfect hid out!
  • Oh no! It's still too small!
  • x = 4
  • 3ft
  • 5ft
  • lets see if it'll fit my lamp!
  • x^2 + 3^2 = 5^2 x^2 + 9 = 25 -9 -9 x^2 = 16 √ x^2 = √16 x= 4
  • Yay! Let's find the area of the triangle, using the Heron's Formula, to see how much room we will have inside.
  • 5ft
  • 5.8ft
  • 3ft
  • Danny! This blanket tent has the perfect measurements!
  • S= (5 + 5.8 + 3) / 2 = 6.9A = 6.9√6.9(6.9-5)(6.9-5.8)(6.9-3) A= 51.7
  • This is perfect! It fits everything and we have so much room! Thank you so much for helping us friend!
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