Juila12001:

need help with checking answers and #10 and 12 https://ibb.co/gLvnHx

8 months ago

#10 is a 30-60-90 Triangle Sides Opposite to Angles 90 - 2a 60 - a sqrt 3 30 - a They give the hypotenuse, which is 2x You can solve for y, the side opposite to angle 30 You can do this by dividing (4 sqrt 3) by 2. From 2a -> a $\frac{ 4 \sqrt 3 }{ 2 } = y$

8 months ago

y = a as per the 30 60 90 rule The side opposite to the angle 60 is a sqrt 3 So we can do the following, $a \sqrt 3$ $a = \frac{ 4 \sqrt 3}{ 2 }$ $(\frac{ 4 \sqrt 3 }{ 2}) \sqrt 3$ Basically substituting a in. Then we simplify $\frac{ 4(3) }{2 } = \frac{ 12 }{ 2 } = 6$

8 months ago

Remember that $\sqrt x \times \sqrt x = x$

8 months ago

It seems that your main error though for 10 was putting the wrong values for the sides. You had x for the hypotenuse, 2x for the angle opposite to 60, and x sqrt 3for the angle opposite to 30.

8 months ago

In actuality it's hypotenuse - 2x 60 - x sqrt 3 30 - x

8 months ago
Juila12001:

so for 10 is th e answer 6 or (4 square root 3 over 2) square rooted by 3

8 months ago

Correct, for x. $y = \frac{ 4 \sqrt 3 }{ 2 }$

8 months ago
Juila12001:

then where did the 6 come from

8 months ago

$6 = (\frac{ 4 \sqrt 3 }{ 2 }) \sqrt 3$

8 months ago

Do you understand?

8 months ago
Juila12001:

oh yea i was just confused bc i thought u meant 6 was the answer

8 months ago
Juila12001:

wait so the answer is 6= (4 square 3 over 2) square ?

8 months ago

$x = (\frac{ 4 \sqrt 3 }{ 2 }) \sqrt 3$ $y = \frac{ 4 \sqrt 3 }{ 2 }$

8 months ago

x also equals 6

8 months ago

6 is better though, since it's simplified.

8 months ago
Juila12001:

so x is 6?

8 months ago

yus

8 months ago
Juila12001:

so u don't have to write 6= (4 square 3 over 2) square ?

8 months ago

nope

8 months ago

All good?

8 months ago

Or is there another one you need help with?

8 months ago
Juila12001:

can check if 8 is correct

8 months ago

|dw:1521605137106:dw|

8 months ago

This means: |dw:1521605198277:dw|

8 months ago

So we can do $7 = x \sqrt 3$ $\frac{ 7 }{ \sqrt 3} = x$ $\frac{ \sqrt 3 }{ \sqrt 3 } \times (\frac{ 7 }{ \sqrt 3 }) = x$ $\frac{ 7 \sqrt 3 }{ 3} = x$

8 months ago

$x = b = \frac{ 7 \sqrt 3 }{ 3 }$

8 months ago

$2x = a = 2(\frac{ 7 \sqrt 3 }{ 3 })$

8 months ago

$a = \frac{ 14 \sqrt 3 }{ 3}$

8 months ago
Juila12001:

thank you

8 months ago

No problem. All done?

8 months ago
Juila12001:

yes

8 months ago

Haha, it seems you already had those answers. But you wrote the values wrong for each side. Don't know how that happened xD

8 months ago
Juila12001:

no

8 months ago

8 months ago

What's in bold black

8 months ago

I think you know how to do these problems. Just have to set them up correctly.

8 months ago
Juila12001:

yea i just confused setting it up

8 months ago

If you ever need help, I am usually on around this time or a bit later.

8 months ago
Juila12001:

ok thanks

8 months ago

There are some other cool math helpers too. Glad I could help.

8 months ago