1. Analytic Method We have explained in lecture that in the real Cartesian plane, the three altitudes of any triangle all meet at a single point. Using similar ideas, we put A = (0, a), B = (-6,0), C = (c,0), where a, b, c > 0 are positive real numbers. (a) Show that the three medians of triangle all meet at a single (b) point. Find the equation of line for the angle bisector of ZBAC.

Project: Thales and determining the height of an Egyptian Pyramid Published Edit ⠀ The Greek Mathematician, Thales of Miletus (c. 548/545 BCE) was said to have determined the height of the pyramids of Egypt using just geometry. Tests your skills to see if you can do the same. Below is a of an upright obelisk 20 meters in height, whose shadow as cast by the sun extends 27 meters to the left. The pyramid also casts a shadow that extends 198.45 meters to the left from the center of the pyramid. 27 meters 20 meters 198.45 meters X Answer the following questions by uploading an PDF document, or turn your work in on class on the date due (late class- room submissions are not allowed). (A) What method or relationship between geometric figures might Thales have used to determine the height of the pyramid? (B) What is the height of the pyramid according to the figure above? (include the correct unit of measurement in your answer)

Draw a model to solve the equation below and check your answer using substitution. Show all work on the sketchpad then type your answer below. 29 = 2a

HOW YATE Find the equation of the horizontal line through the point (10,-3). The equation is answer as an equation) * (Be sure to enter your 63°F Mostly clear (4₁