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rebeccaskell94

  • 3 years ago

In △RST, what is the length of line segment RT? How old I'll draw it. Possible answers: 8 16 radical 2 32 16radical 3

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  1. rebeccaskell94
    • 3 years ago
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    |dw:1343141784834:dw|

  2. ParthKohli
    • 3 years ago
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    All right. You do observe that this is a 45-45-90 which has a leg 16 right?

  3. rebeccaskell94
    • 3 years ago
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    yes.

  4. ParthKohli
    • 3 years ago
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    Okay. Another thing that I should tell you—if two angles are equal, then two sides are equal too! Do you know what a triangle with two equal sides is known as?

  5. rebeccaskell94
    • 3 years ago
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    Right triangle?

  6. ParthKohli
    • 3 years ago
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    Hmm. No...

  7. ParthKohli
    • 3 years ago
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    There are names given to the triangles based on their *sides*. Equilateral triangle - all sides equal. Isosceles triangle - two sides equal. Scalene triangle - no sides equal.

  8. rebeccaskell94
    • 3 years ago
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    oh lol xD okay so it's isosceles sorry D:

  9. ParthKohli
    • 3 years ago
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    All right, so an isosceles triangle has 2 angles and 2 sides equal. So, we have TWO angles equal. This must be an isosceles triangle(which makes the two legs equal by default).

  10. rebeccaskell94
    • 3 years ago
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    So ST is 16 as well?

  11. ParthKohli
    • 3 years ago
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    |dw:1343142127177:dw|

  12. ParthKohli
    • 3 years ago
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    Yes! You got it! Now can you use the Pythagorean Theorem? :)

  13. rebeccaskell94
    • 3 years ago
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    16^2 + 16^2 = c^2? C in this case being RT?

  14. ParthKohli
    • 3 years ago
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    Yep!

  15. rebeccaskell94
    • 3 years ago
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    256 or √16?

  16. rebeccaskell94
    • 3 years ago
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    I don't think I did that right...

  17. ParthKohli
    • 3 years ago
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    Umm...no.....

  18. ParthKohli
    • 3 years ago
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    What is \(16^2\)?

  19. rebeccaskell94
    • 3 years ago
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    oh duhhrr give me a sec

  20. rebeccaskell94
    • 3 years ago
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    512=c^2 or c=22.6?

  21. ParthKohli
    • 3 years ago
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    It asks for the radical form :P

  22. rebeccaskell94
    • 3 years ago
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    -___- √512 ? maybe?

  23. ParthKohli
    • 3 years ago
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    Yep, but you have to simplify that radical.

  24. rebeccaskell94
    • 3 years ago
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    Or! 16√2 ?

  25. ParthKohli
    • 3 years ago
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    Yay! As you are done with the long method now, I'd give you a short-cut to do such questions involving a 45-45-90 triangle!

  26. rebeccaskell94
    • 3 years ago
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    Okay :D

  27. ParthKohli
    • 3 years ago
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    If you are given a leg of a 45-45-90 triangle, you just put \(\sqrt2\) in front of it to get the hypotenuse ^_^ • If the leg is \(8\), then the hypotenuse is \(8\sqrt2\) • If the leg is \(1281283283283249483483\), then the hypotenuse is \(1281283283283249483483 \sqrt2\)

  28. rebeccaskell94
    • 3 years ago
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    D: That is genius

  29. ParthKohli
    • 3 years ago
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    And, for example, if the hypotenuse is \(\pi\sqrt2\), then the leg is \(\pi\). Remember, you just remove that \(\sqrt2\) in the case of \(hypotenuse \Longrightarrow leg \).

  30. rebeccaskell94
    • 3 years ago
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    *takes notes*

  31. ParthKohli
    • 3 years ago
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    But remember, this method is \(\textbf{only for the 45-45-90 triangles}\).

  32. rebeccaskell94
    • 3 years ago
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    Okay!

  33. ParthKohli
    • 3 years ago
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    Wanna know it for 30-60-90 too?

  34. rebeccaskell94
    • 3 years ago
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    Yeah! But I have to go make lunch for my siblings :( I'll be back in like 10-15 minutes :D

  35. ParthKohli
    • 3 years ago
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    All right! :)

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