The length of the hypotenuse of a 30° - 60° - 90° triangle is 4. What is the perimeter?
Using the ratios of the sides of a 30° - 60° - 90° triangle, we know that the shorter leg is half the length of the hypotenuse, and the longer leg is $\sqrt{3}$ times the length of the shorter leg. Thus, the shorter leg of this triangle is $4/2=2$, and the longer leg is $2\sqrt{3}$. The perimeter is then $2+2\sqrt{3}+4=\boxed{6+2\sqrt{3}}$.
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The "$" I don't understand that
The "$" symbol is used to represent "dollars" in English. It is commonly used to specify prices or amounts of money. For example, "$10" would indicate ten dollars.
No, the equation, $2+2\sqrt{3}+4=\boxed{6+2\sqrt{3}}$. I don't understand what this means or what the dollar signs means
I apologize for the confusion. The expression is not related to dollars; it's a mathematical equation.
The equation $2+2\sqrt{3}+4=\boxed{6+2\sqrt{3}}$ simply means that the sum of $2$, $2\sqrt{3}$ (which is approximately $3.46$), and $4$ is equal to $6+2\sqrt{3}$ (which is approximately $9.46$).
The boxed value is just a simplified version of the sum on the left side of the equation, where we've replaced the complex expression $2+2\sqrt{3}+4$ with the simpler expression $6+2\sqrt{3}$. The box is just a way to indicate that this expression is the simplified form of the left-hand side.