# Math Help - Special Right Triangles

1. ## Special Right Triangles

It is only multiples of 3, I was wondering if someone could please look over this? I am having an extremely hard time with these...i did not get #33...please help

2. Are you CERTAIN you have all the labels correct? It is rather confusing to use lower case on the drawing and upper case in the problem set.

1) ALWAYS remember that drawings may not be to scale. Do NOT let your eyes decieve you.

2) 30-60-90 ALWAYS has the long leg equal to $\sqrt{3}$ times the short leg.

Short = $8$, Long = $8\sqrt{3}$

Long = $25$, Short = $\frac{25}{\sqrt{3}}$

3. Yes, the diagrams came labeled...did I do something wrong?

4. Hello, aikenfan!

They're fine . . . except for #33 . . .
Code:
                          *
*   *
c   *   60° *
*           * a
*  30°          *
* *  *  *  *  *  *  *
b
$\begin{array}{cccc} & a & b & c \\
33) & \_\_ & 25 & \_\_ \end{array}$

For this triangle $a:b:c$ is in the ratio: . $x:x\sqrt{3}:2x$

We are told: . $b = 25$
. . So we have: . $x\sqrt{3} \,=\,25\quad\Rightarrow\quad x \:=\:\frac{25}{\sqrt{3}} \:=\:\frac{25\sqrt{3}}{3}$

Therefore: . $\begin{array}{ccccc}a & = & x & = & \frac{25\sqrt{3}}{3} \\ c & = & 2x & = & \frac{50\sqrt{3}}{3}\end{array}$

5. Thank you very much for all of your help