Question

Geometry, also how do I know which is larger and which is smaller if we haven't learnt cosines yet?

Answer 1

a) ∠XMP, ∠MXP, ∠XPM

Explanation:

The angle opposite to the largest side is largest and the angle opposite to the smallest side is the smallest.

By sorting, we have:

`\begin{tabular}cSide & Length&Opposite Angle\\\cline{1-3}MX & 10&\angle XPM\\PM &8& \angle MXP \\PX &6& \angle XMP \end{tabular}`

⇒ ∠XMP < ∠MXP < ∠XPM