1. Given a 40°-50°-90° triangle with hypotenuse 120 write out what the remaining sides a and b would be in terms of chords of angles only. You do not need a numerical answer. 50° 120 C B a

Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?

a To locate the orthocenter, is it necessary to construct all three altitude of a right triangle? b What point is the orthocenter of any right triangle?

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.