381/variants/1558083/take/6/ Use the Pythagorean theorem to find the height of the pyramid. a²+b²=c² 1 SA = PI + B v = 1/1 Bh 3 **Use 11.2.3 Practice and Skill Builder for help** 2D Net 4.7 cm 2.8 cm 3D Square Pyramid slant height 4.7 cm ☆ Identify the following height Perimeter of base P = 2.8 cm 2 Area of Base Surface Area = 3 cm² 5.5 cm 5.5 cm 5.5 cm 5.5 cm Height = Volume = 5 cm³

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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)

Please write in digital format, solve step by step thanks! A classical theorem of geometry tells us that in any triangle ABC the bisectors meet at the center of a circle that passes through the three vertices. Check this theorem for the triangle with vertices A = (4, 0), B = (2, −2) and C = (−2, −2); giving the equation of the three bisectors, finding the common point and giving the equation of the circumscribed circumference.