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Workbook

3) The measures of the angles of a triangle are in the ratio of 2 : 3 : 4. Find the measure of the
smallest angle of the triangle.

4) Two angles of a triangle are in the ratio of 3 : 5. The difference of the angles is 30 degrees. Find the
measure of the largest angle in the triangle.

5) What is the ratio of the circumference of a circle to its radius?

Properties of Proportion
1) The Fundamental Property of Proportion

In any proportion, the product of the extremes is equal to the product of the means. This property
is also referred to as the means/extremes property, and in symbols, it looks like this:
a c
If  then ad bc
b d

a c d c a b
2) If  then  and 
b d b a c d

a c a c m a n c  
3) If   k then  k and  k
b d b d m b n d  

2
4) If  a c  k then a c  k
b d b b

Exercises:

79 091math-wb-w6-(equations&inequalities-1)