Juila12001:

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

1 month 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 $\frac{ 4 \sqrt 3 }{ 2 } = y$

1 month 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 $\frac{ 4(3) }{2 } = \frac{ 12 }{ 2 } = 6$

1 month ago

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

1 month 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.

1 month ago

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

1 month ago
Juila12001:

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

1 month ago

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

1 month ago
Juila12001:

then where did the 6 come from

1 month ago

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

1 month ago

Do you understand?

1 month ago
Juila12001:

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

1 month ago
Juila12001:

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

1 month ago

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

1 month ago

x also equals 6

1 month ago

6 is better though, since it's simplified.

1 month ago
Juila12001:

so x is 6?

1 month ago

yus

1 month ago
Juila12001:

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

1 month ago

nope

1 month ago

All good?

1 month ago

Or is there another one you need help with?

1 month ago
Juila12001:

can check if 8 is correct

1 month ago

|dw:1521605137106:dw|

1 month ago

This means: |dw:1521605198277:dw|

1 month ago

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

1 month ago

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

1 month ago

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

1 month ago

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

1 month ago
Juila12001:

thank you

1 month ago

No problem. All done?

1 month ago
Juila12001:

yes

1 month 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

1 month ago
Juila12001:

no

1 month ago

1 month ago

What's in bold black

1 month ago

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

1 month ago
Juila12001:

yea i just confused setting it up

1 month ago

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

1 month ago
Juila12001:

ok thanks

1 month ago

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

1 month ago