Question

Triangle ABC is equilateral.a. What is the value of x?b. What is the measure ofangle B?ESSENMETERLEBEGEINDKAEMPLE

Answer 1

Remmeber that

An equilateral triangle has three equal sides and three equal interior angles

the measure of each interior angle is 60 degrees

that means

the measure of angle B is 60 degrees

Find the value of x

In the right triangle CAD

we have

sin(60)=x/8 ------> by opposite side divided by the hypotenuse

solve for x

x=8*sin(60)

Remember that

`\sin (60^o)=\frac{\sqrt[]{3}}{2}`

therefore

`\begin{gathered} x=4\sqrt[]{3} \\ \end{gathered}`