Proof

Given triangle ABC where BC=CD prove that if x>y then y is less than z (see attachment)

Proof

Prove the first half of the open-jaw inequality where the point G lies inside triangle DEF i.e show that if x less than y => AC < DF (see attachment)

Proof

Use the side-angle inequality to show that in triangle ABC if the internal bisectore of angle A meets BC at D and AB>AC , then DB>DC

Proof

ABCD is a convex quadrilateral and F and H are the midpoint of BC and AD respectively. If AC cuts FH at the midpoint K of FH show that [ABC]=[ADC] ( [] = area)

Proof

ABCD is a convex quadralteral as shown in document and E,F,G,H are midpoints of AB,BC,CD,DA. EG cuts FH at K prove that [AEKH]+[CGKF]=[BFKE]+[DHKG]