Question

Find the missing length of the longer leg in each 30-60-90 triangle. Leave the answer in racial form: short leg = 9

Answer 1

Find the missing length of the longer leg in each 30-60-90 triangle. Leave the answer in racial form: short leg = 9​

we know that

`\sin (60^o)=\frac{\sqrt[\square]{3}}{2}`
`\cos (60^o)=(1)/(2)`
`\tan (60^o)=\sqrt[\square]{3}`

so

In this problem

`\tan (60^o)=\frac{\text{long leg}}{\text{short leg}}`

substitute the given values

`\begin{gathered} \sqrt[\square]{3}=\frac{\text{long leg}}{\text{9}} \\ \\ \text{long leg=9}\sqrt[\square]{3} \end{gathered}`