Question

30-60-90 triangle question

Answer 1

Post away

Answer 2

@thesmartone

Answer 3

@happyrosy

Answer 4

@Nnesha

Answer 5

This is more properties of a 30-60-90 triangle than Pythagorean theorem.

Answer 6

Do you know the relationship of sides of a 30-60-90 triangle?

Answer 7

YES

Answer 8

Can you draw it using the draw tool?

Answer 9

ok i already know the answer and it showed me it but can you explain how the answer was worked out?

Answer 10

ok, but i don't know how to solve it

Answer 11

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:

\(\sf 2a = 8\sqrt{3}\)

\(\sf\Large a=\frac{8\sqrt{3}}{2}=4\sqrt{3}\)

Answer 12

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:

\(\sf 4 \sqrt{3}\times \sqrt{3}=4 \times 3 = 12\)

Answer 13

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.