Thursday, April 16, 2009

Prob #18 Similar Polygons

Given 2 similar triangles. The ratio of their sides is 2:3.

a. What is the ratio of the perimeters of the triangles? 2:3

b. What is the ratio of the altitudes of the triangles? 2:3

c. What is the ratio of the medians of the triangles? 2:3

d. What is the ratio of the angle bisectors of the triangles? 2:3

e. What is the ratio of the areas of the triangles? 4:9

f. What is the scale factor of the triangles? 2:3

Answer: ALL corresponding linear parts are in the same ratio as the sides. The ratio of the areas is the ratio of the sides squared. The ratio of the volumes is the ratio of the sides cubed.

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