Question

1. A 30-60-90 triangle has a hypotenuse of 10. Use trig (sine, cosine, or tangent) to find the short side. Show your work.

Answer 1

Given the right triangle:

Where a is the short side. Then, using the definition of the sine function:

`\sin30\degree=(a)/(10)`

But we know that:

`\sin30\degree=(1)/(2)`

Finally:

`\begin{gathered} (1)/(2)=(a)/(10) \\ \\ \Rightarrow a=(10)/(2) \\ \\ \therefore a=5 \end{gathered}`