Question

Given triangle ACP is congruent to triangle LNX, find each missing measure.

Answer 1

Since both triangles are congruent we have that:

`AC=21`

To find the angles missing we need to know all the sides first. Using the law of cosines we have:

`PC^2=AC^2+AP^2-2AC\cdot AP\cos A`

Plugging the values we know we have that:

`\begin{gathered} PC^2=21^2+13^2-2\cdot21\cdot13\cos 29 \\ PC^2=1018.439411 \\ PC=\sqrt[]{1018.439411} \\ PC=31.913 \end{gathered}`

Now that we have all the sides we can