(Solved): Figure 1 shows an equilateral triangle ABC. That means all three angles A,B,C are equal to each oth ...

Figure 1 shows an equilateral triangle $ABC$. That means all three angles $A,B,C$ are equal to each other $(A=B=C)$ and equal to degrees. All three sides $AB,BC$, and $AC$, are also equal to each other $(AB=BC=AC)$. In this example we call that length $s$. The letter $s$ could be any number ( $1.22\mathrm{cm}$ or $3.43\mathrm{m}$, etc), in this case we leave it unspecified and general. The three other dashed lines $\mathrm{AE},\mathrm{BF},\mathrm{CD}$ are drawn to be perpendicular bisectors. That means the are perpendicular to the sides at one end and they bisect the angle (divide into two equal parts) at the other end. That means that the line AE bisects angle and is perpendicular to side - It also means that angle $EAB=$ degrees and angle EAC = degrees. Here are some more questions regarding Figure 1. Refer to the course equation sheet for values of the sine and cosine in terms of square root values. Report answers in terms of square root values and/or fractions times s. Remember that the length of the sides of the equilateral triangle are all $s(AB=BC=AC=s$ ) It might help to think of $s=1$ and then multiply by $s$. If the answer is $s$, just enter 1 . Since the units of $s$ are not given, answers containing $s$ vill have no units. Once you have the general answer you will be given a numerical value for $s$ with units. Line $AB=$ Line AF = Line $\mathrm{BF}=$ *s Suppose $s=3.51\mathrm{cm}$, then Line $AB=$ ${}^{?}\mathrm{s}$ Suppose $\mathrm{s}=3.51\mathrm{cm}$, then Line $\mathrm{AF}=$ $\mathrm{cm}$ $\mathrm{cm}$ Figure 2 shows different right triangles ABD, , Note: letters must be in alphabetical order. Complete the following numerical calculations given $AB=2.11\mathrm{cm}$ and $BC=3.91\mathrm{cm}$. Note: triangle may not be drawn to scale. Note: angle $BAC$ is the angle formed where lines $AB$ and $AC$ meet at $A$ Side $\mathrm{AC}=$ $\mathrm{cm}$ angle $BAC=$ degrees angle $\mathrm{ACB}=$ degrees Side $BD=$ cm Side $AD=$ $\mathrm{cm}$ Side $CD=$ $\mathrm{cm}$ angle $\mathrm{ABD}=$ degrees angle $\mathrm{CBD}=$ degrees Choose the letters of all correct equation - list letters in alphabetical order. $A:BAC=BAD$ $B:ABC=ABD$ C: $BAD={\tan }^{?1}(AB/BC)$ $D:BAD={\tan }^{?1}(BC/AB)$ $E:CD=BC\cos \left({\tan }^{?1}(AB/BC)\right)F:CD=BC\sin \left({\tan }^{?1}(AB/BC)\right)$ Write a general symbolic equation for the following two items in terms of the two given quantities $AB$ and $BC$. $BAC=$ $CD=$