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Altair

  • 2 years ago

how do i determine the height of a triangle with only the length nd sides?

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  1. Altair
    • 2 years ago
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    The base of the tent measures 96 inches wide, and the length from the top point of the tent to the corners of the base is 102 inches.

  2. Altair
    • 2 years ago
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    What is the length of the pole that Daniel needs to support the middle of the tent?

  3. Zara
    • 2 years ago
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    Use pythagoras' theorem :)

  4. Altair
    • 2 years ago
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    how do u suppose i do dat?

  5. Zara
    • 2 years ago
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    imagine a line from the top point to the middle of the base. You now have two right angled triangles. Use pythagoras' theorem on one to find the height (the line you've drawn in) a^2+b^2=c^2 a=96/2=48 b=the height c=102 48^2+b^2=102^2 2304+b^2=10404 b^2=10404-2304=8100 b=sqrt(8100) b=90

  6. Altair
    • 2 years ago
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    A. 72 inches B. 180 inches C. 96 inches D. 90 inches

  7. Zara
    • 2 years ago
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    b=90, so b is answer D! Do you understand it?

  8. Altair
    • 2 years ago
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  9. Zara
    • 2 years ago
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    use pythagoras' theorem again. in this case: a=sqrt(40) b=3 c=z on the diagram so: sqrt(40)^2+3^2=c^2 40+9=c^2 49=c^2 c=sqrt(49) c=7 :)

  10. Altair
    • 2 years ago
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  11. Zara
    • 2 years ago
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    are you actually understanding this or just taking the answers? if you're learning you should be able to work this out now. remember, for right angled triangles, just use pythagoras' theorem!

  12. Zara
    • 2 years ago
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    you there?

  13. Altair
    • 2 years ago
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    im having trouble with the squareroot part

  14. Zara
    • 2 years ago
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    what exactly do you mean? :)

  15. Altair
    • 2 years ago
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    \[\sqrt{15}\]

  16. Zara
    • 2 years ago
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    are you doing the question you attached? how does the sqrt(15) come into it?

  17. Altair
    • 2 years ago
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    im doing em i just dont understand em

  18. Zara
    • 2 years ago
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    so you are doing the attached one? do you know pythagoras' theorem?

  19. Altair
    • 2 years ago
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    yes and yes a^2+b^2=c^2

  20. Zara
    • 2 years ago
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    correct :) in this case you need to find a, so rearrange the equation so that a is by itself

  21. Altair
    • 2 years ago
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    but the square root how do i figure that

  22. Zara
    • 2 years ago
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    when you rearrange, the equation is: a^2=c^2-b^2 i think you mean sqrt(53)=z? In pythagoras' theorem, the z is the equivalent of c because it is the hypotenuse, so you subsitute this into the equation: a^2=sqrt(53)^2-b^2 when you square a square root, you're basically just getting rid of the square root, so sqrt(53)^2=53 does that help?

  23. Altair
    • 2 years ago
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    yes

  24. Zara
    • 2 years ago
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    good, so you can answer the question now? :)

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