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2. Construct a scalene triangle a) Construct one median of the triangle. The median divides the triangle into two smaller triangles. What do you notice about the areas of these triangles? b) Now construct a second median. What happens now? What can you deduce about the areas of these shapes? Write as many conclusions as you can see. Use colour to clearly distinguish the shapes. c) Now draw the 3rd median - six triangles are formed. What can you deduce about the areas of the six triangles? Show clearly.

2. Construct a scalene triangle a) Construct one median of the triangle. The median divides the triangle into two smaller triangles. What do you notice about the areas of these triangles? b) Now construct a second median. What happens now? What can you deduce about the areas of these shapes? Write as many conclusions as you can see. Use colour to clearly distinguish the shapes. c) Now draw the 3rd median - six triangles are formed. What can you deduce about the areas of the six triangles? Show clearly.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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This Question needs to be done with GeoGebra 2. Construct a scalene triangle a) Construct one median of the triangle. The median divides the triangle into two smaller triangles. What do you notice about the areas of these triangles? b) Now construct a second median. What happens now? What can you deduce about the areas of these shapes? Write as many conclusions as you can see. Use colour to clearly distinguish the shapes. c) Now draw the 3rd median six triangles are formed. What can you deduce about the areas of the six triangles? Show clearly.
Transcribed Image Text:This Question needs to be done with GeoGebra 2. Construct a scalene triangle a) Construct one median of the triangle. The median divides the triangle into two smaller triangles. What do you notice about the areas of these triangles? b) Now construct a second median. What happens now? What can you deduce about the areas of these shapes? Write as many conclusions as you can see. Use colour to clearly distinguish the shapes. c) Now draw the 3rd median six triangles are formed. What can you deduce about the areas of the six triangles? Show clearly.
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