1) Let ABC be a triangle in the hyperbolic plane. Let D be a point on side AB such that A*D*B and let E be a point on side AC such hat A*E*C. Prove that the sum of the measures of angles ADE and AED is greater than the sum of the measures of angles ABC and ACB. [Hint: Consider the relationship between the areas of triangles ABC and ADE. Relate this to the defects of the two triangles.]

are the mid-points of BC and AC In Figure 2, ABC is a triangle. M and respectively. D is a point lying on AC such that BC = 2BD. It is given that BN is the angle bisector of ZDBM. 13. D. 2. C. Figure 2 (a) Prove that (i) ABND = ABNM; (ii) AB = AN. (b) Someone claims that the area of AABC is four times the area of ABND. Do you agree? Explain your answer. C.

Please help with a) and b)

Consider the triangle shown in the fiqure. y (cm) 11 10 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 11 x (cm) What is the area of the triangle?