# Hyperbolic triangles proof help?

## Homework Statement

Prove in hyperbolic geometry: In the accompanying figure M and N are the respective (hyperbolic) midpoints of AB and AC and θ and ∅ are the indicated angle measures. Determine, with proof, which of the following is true:
(1): θ=∅ (2): θ<∅ (3): θ>∅ ( stands for phi)

## Homework Equations

I have attached a picture of the figure too. Since im in hyperbolic geometry I get to assume that the internal angle sum of a triangle <180 degrees and AAA congruence for triangles.

## The Attempt at a Solution

I don't know where to get started. It looks simple but im thinking that I need to get congruent triangles in there somehow but I don't know how to. If you can give me a hint that be great.

#### Attachments

• triangle.jpg
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SammyS
Staff Emeritus
Homework Helper
Gold Member

## Homework Statement

Prove in hyperbolic geometry: In the accompanying figure M and N are the respective (hyperbolic) midpoints of AB and AC and θ and ∅ are the indicated angle measures. Determine, with proof, which of the following is true:
(1): θ=∅ (2): θ<∅ (3): θ>∅

## Homework Equations

I have attached a picture of the figure too. Since im in hyperbolic geometry I get to assume that the internal angle sum of a triangle <180 degrees and AAA congruence for triangles.

## The Attempt at a Solution

I don't know where to get started. It looks simple but im thinking that I need to get congruent triangles in there somehow but I don't know how to. If you can give me a hint that be great.
Where's the figure?

I've attached it.

SammyS
Staff Emeritus