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 2 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
 2 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

This Question is Closed

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1343141784834:dw

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2All right. You do observe that this is a 454590 which has a leg 16 right?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2Okay. 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?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2There 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.

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1oh lol xD okay so it's isosceles sorry D:

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2All 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).

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1So ST is 16 as well?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1343142127177:dw

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2Yes! You got it! Now can you use the Pythagorean Theorem? :)

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.116^2 + 16^2 = c^2? C in this case being RT?

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1I don't think I did that right...

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1oh duhhrr give me a sec

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1512=c^2 or c=22.6?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2It asks for the radical form :P

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1___ √512 ? maybe?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2Yep, but you have to simplify that radical.

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2Yay! As you are done with the long method now, I'd give you a shortcut to do such questions involving a 454590 triangle!

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2If you are given a leg of a 454590 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 \(1281283283283249483483 \sqrt2\)

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1D: That is genius

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2And, for example, if the hypotenuse is \(\pi\sqrt2\), then the leg is \(\pi\). Remember, you just remove that \(\sqrt2\) in the case of \(hypotenuse \Longrightarrow leg \).

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2But remember, this method is \(\textbf{only for the 454590 triangles}\).

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.2Wanna know it for 306090 too?

rebeccaskell94
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah! But I have to go make lunch for my siblings :( I'll be back in like 1015 minutes :D
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