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

- anonymous

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- anonymous

|dw:1326906930128:dw|

- anonymous

Can you please go step by step??

- 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

|dw:1326907065096:dw|

- anonymous

ok. But we do not have a leg length so what do we do?

- Mertsj

|dw:1326907328468:dw|

- anonymous

ok. so it is |dw:1326907235271:dw|?

- Mertsj

Yes. Now simplify

- Mertsj

|dw:1326907365798:dw|

- anonymous

wait. why do you multiply by sqrt of 2/sqrt of 2????

- Mertsj

To get the radical out of the denominator because a radical in the denominator is not considered simple form.

- anonymous

oh ok. so the answer would be 21sqrt 2?

- Mertsj

yes

- anonymous

ok can i post another in this so i can possibly try and you can tell me if i am correct?>

- Mertsj

yes

- 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

|dw:1326907561782:dw|

- anonymous

see this is a 30-60-90. what do i do to find the other leg?

- 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

short leg times 2 = hypotenuse
short leg times sqrt3 = long leg

- anonymous

so 33sqrt3?

- Mertsj

yes

- anonymous

oh okkkkkk...thanks..i may have on emore im not sure ok?

- Mertsj

ok

- 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

this makes no sense

- Mertsj

|dw:1326908043640:dw|

- Mertsj

It is the same triangle but this time we know the hypotenuse and have to find the long leg.

- Mertsj

First, find the short leg. What is it?

- anonymous

66?

- Mertsj

Yes. Now find the long leg. What is it?

- anonymous

66sqrt3?

- Mertsj

Good job!!

- anonymous

but it says the nearest hundreth of an inch...

- Mertsj

Well then pick up you calculator and multiply sqrt3 by 66 and round to the nearest hundredth

- Mertsj

114.32

- anonymous

oh ok thankssss so much! i will be back soon ok? you have helped alot and i appreciate it

- Mertsj

I have to go work out now anyway.

- anonymous

wait! i have one last question!!!! how do you find the short leg if the give you the long leg?

- 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

merts are you back???

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