anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1343141784834:dw|
ParthKohli
  • ParthKohli
All right. You do observe that this is a 45-45-90 which has a leg 16 right?
anonymous
  • anonymous
yes.

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More answers

ParthKohli
  • ParthKohli
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?
anonymous
  • anonymous
Right triangle?
ParthKohli
  • ParthKohli
Hmm. No...
ParthKohli
  • ParthKohli
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.
anonymous
  • anonymous
oh lol xD okay so it's isosceles sorry D:
ParthKohli
  • ParthKohli
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).
anonymous
  • anonymous
So ST is 16 as well?
ParthKohli
  • ParthKohli
|dw:1343142127177:dw|
ParthKohli
  • ParthKohli
Yes! You got it! Now can you use the Pythagorean Theorem? :)
anonymous
  • anonymous
16^2 + 16^2 = c^2? C in this case being RT?
ParthKohli
  • ParthKohli
Yep!
anonymous
  • anonymous
256 or √16?
anonymous
  • anonymous
I don't think I did that right...
ParthKohli
  • ParthKohli
Umm...no.....
ParthKohli
  • ParthKohli
What is \(16^2\)?
anonymous
  • anonymous
oh duhhrr give me a sec
anonymous
  • anonymous
512=c^2 or c=22.6?
ParthKohli
  • ParthKohli
It asks for the radical form :P
anonymous
  • anonymous
-___- √512 ? maybe?
ParthKohli
  • ParthKohli
Yep, but you have to simplify that radical.
anonymous
  • anonymous
Or! 16√2 ?
ParthKohli
  • ParthKohli
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!
anonymous
  • anonymous
Okay :D
ParthKohli
  • ParthKohli
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 \(1281283283283249483483 \sqrt2\)
anonymous
  • anonymous
D: That is genius
ParthKohli
  • ParthKohli
And, for example, if the hypotenuse is \(\pi\sqrt2\), then the leg is \(\pi\). Remember, you just remove that \(\sqrt2\) in the case of \(hypotenuse \Longrightarrow leg \).
anonymous
  • anonymous
*takes notes*
ParthKohli
  • ParthKohli
But remember, this method is \(\textbf{only for the 45-45-90 triangles}\).
anonymous
  • anonymous
Okay!
ParthKohli
  • ParthKohli
Wanna know it for 30-60-90 too?
anonymous
  • anonymous
Yeah! But I have to go make lunch for my siblings :( I'll be back in like 10-15 minutes :D
ParthKohli
  • ParthKohli
All right! :)

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