anonymous
  • anonymous
sorry mertsj. This is what i need help with, but also those others. In △PQR, what is the length of line segment QR? Right triangle PQR with PR measuring 42 and angles P and R measure 45 degrees. Answer 21radical 2 42radical 2 21 42radical 3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1326906930128:dw|
anonymous
  • anonymous
Can you please go step by step??
Mertsj
  • Mertsj
You need to learn that this is one of the special right triangles. The 45-45-90. In this triangle, the hypotenuse is the leg multiplied by sqrt2

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Mertsj
  • Mertsj
|dw:1326907065096:dw|
anonymous
  • anonymous
ok. But we do not have a leg length so what do we do?
Mertsj
  • Mertsj
|dw:1326907328468:dw|
anonymous
  • anonymous
ok. so it is |dw:1326907235271:dw|?
Mertsj
  • Mertsj
Yes. Now simplify
Mertsj
  • Mertsj
|dw:1326907365798:dw|
anonymous
  • anonymous
wait. why do you multiply by sqrt of 2/sqrt of 2????
Mertsj
  • Mertsj
To get the radical out of the denominator because a radical in the denominator is not considered simple form.
anonymous
  • anonymous
oh ok. so the answer would be 21sqrt 2?
Mertsj
  • Mertsj
yes
anonymous
  • anonymous
ok can i post another in this so i can possibly try and you can tell me if i am correct?>
Mertsj
  • Mertsj
yes
anonymous
  • anonymous
ok here In △JKL, what is the length of line segment KL? Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. Answer 33radical 2 33radical 3 16.5 66
anonymous
  • anonymous
|dw:1326907561782:dw|
anonymous
  • anonymous
see this is a 30-60-90. what do i do to find the other leg?
Mertsj
  • Mertsj
This is the other special right triangle. Everything is related to the short leg which is the leg opposite the 30 degree angle.
Mertsj
  • Mertsj
short leg times 2 = hypotenuse short leg times sqrt3 = long leg
anonymous
  • anonymous
so 33sqrt3?
Mertsj
  • Mertsj
yes
anonymous
  • anonymous
oh okkkkkk...thanks..i may have on emore im not sure ok?
Mertsj
  • Mertsj
ok
anonymous
  • anonymous
A ladder leans against a house at a 60° angle to the ground. If the ladder extends to a length of 132 inches, what is the height of the house to the nearest hundredth of an inch? House with a ladder measuring 132 inches forming a right triangle. The base angle formed by the ladder is 60 degrees.
anonymous
  • anonymous
this makes no sense
Mertsj
  • Mertsj
|dw:1326908043640:dw|
Mertsj
  • Mertsj
It is the same triangle but this time we know the hypotenuse and have to find the long leg.
Mertsj
  • Mertsj
First, find the short leg. What is it?
anonymous
  • anonymous
66?
Mertsj
  • Mertsj
Yes. Now find the long leg. What is it?
anonymous
  • anonymous
66sqrt3?
Mertsj
  • Mertsj
Good job!!
anonymous
  • anonymous
but it says the nearest hundreth of an inch...
Mertsj
  • Mertsj
Well then pick up you calculator and multiply sqrt3 by 66 and round to the nearest hundredth
Mertsj
  • Mertsj
114.32
anonymous
  • anonymous
oh ok thankssss so much! i will be back soon ok? you have helped alot and i appreciate it
Mertsj
  • Mertsj
I have to go work out now anyway.
anonymous
  • anonymous
wait! i have one last question!!!! how do you find the short leg if the give you the long leg?
Mertsj
  • Mertsj
Well, if you multiply the short leg by sqrt3 to get the long leg, then you should divide the long leg by sqrt3 to get the short leg.
anonymous
  • anonymous
merts are you back???

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