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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...

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