Question

(double check answer) how do i find cd?

As my answer I got 3sqaureroot3 over 2

Answer 1

The length of `CD` is `3`.

Explanation:

Here is a picture of our triangle:

We can solve for the measure of `angleB` knowing that all the angle measures of the triangle add up to `180^@`:

`mangleB+mangleC+mangleD=180^@`

`mangleB+45^@+90^@=180^@`

`mangleB+45^@=180^@-90^@`

`mangleB+45^@=90^@`

`mangleB=90^@-45^@`

`mangleB=45^@`

We can see that both `angleB` and `angleC` are `45^@`, so they have the same measure.

This means that the sides that are opposite from `angleB` and `angleC` (`CD` and `BD`) are equal in length.

Since we know `BD` is `3`, we can now conclude that `CD` is also `3`.

Hope this helped!