Question

The side lengths of a 45-45-90 triangle are in the ratio 1:1:2. What is tan45°?A. 2CB.B.ioc.12D. 1

Answer 1

Let's begin by listing out the given information:

This is a 45-45-90 triangle having sides 1:1:2

To calculate for tan 45°, we will solve as shown below:

`\begin{gathered} tan\theta=(opposite)/(adjacent) \\ \theta=45\degree \\ opposite=1 \\ adjacent=1 \\ tan45\degree=(1)/(1)=1 \\ \therefore tan45\degree=1 \\ \end{gathered}`

Therefore, D is the answer