Mindblast3r
  • Mindblast3r
30-60-90 triangle question
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
TheSmartOne
  • TheSmartOne
Post away
Mindblast3r
  • Mindblast3r
1 Attachment
Mindblast3r
  • Mindblast3r
@thesmartone

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Mindblast3r
  • Mindblast3r
@happyrosy
Mindblast3r
  • Mindblast3r
@Nnesha
anonymous
  • anonymous
This is more properties of a 30-60-90 triangle than Pythagorean theorem.
TheSmartOne
  • TheSmartOne
Do you know the relationship of sides of a 30-60-90 triangle?
Mindblast3r
  • Mindblast3r
YES
TheSmartOne
  • TheSmartOne
Can you draw it using the draw tool?
Mindblast3r
  • Mindblast3r
ok i already know the answer and it showed me it but can you explain how the answer was worked out?
Mindblast3r
  • Mindblast3r
1 Attachment
TheSmartOne
  • TheSmartOne
|dw:1433881486021:dw|
Mindblast3r
  • Mindblast3r
ok, but i don't know how to solve it
TheSmartOne
  • TheSmartOne
They gave you the side opposite the right angle as \(\sf 8\sqrt{3}\) And so if we look at the drawing I posted, and correlate the sides to solve for a we get: \(\sf 2a = 8\sqrt{3}\) \(\sf\Large a=\frac{8\sqrt{3}}{2}=4\sqrt{3}\)
TheSmartOne
  • TheSmartOne
and you can see that the side that they want is the side opposite the angle 60 In the drawing I posted, it has a value of \(\sf a\sqrt{3}\) and we calculated a as \(\sf 4\sqrt{3}\) So if we plug in the value of a, we get: \(\sf 4 \sqrt{3}\times \sqrt{3}=4 \times 3 = 12\)
anonymous
  • anonymous
The side opposite 30 degrees is always half of the hypotenuse. So if the hypotenuse is \[8\sqrt{3}\] then the side opposite to the 30 degees would be \[\frac{8\sqrt{3}}{2}\] which is \[4\sqrt{3}\] And the 60 degrees side is always the 30 degrees side times sqrt 3. So it would be \[4\sqrt{3}*\sqrt{3}\] which is the same as \[4\sqrt{9}\] which is \[4*3\] which obviously get you 12.

Looking for something else?

Not the answer you are looking for? Search for more explanations.