Difference between revisions of "Ratio and Proportion"
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Revision as of 12:10, 6 November 2015
| Philosophy of Mathematics |
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1. Cabinet of mathematical curiosities - Ian Stewart
2. Cabinet of mathematical curiosities - Ian Stewart
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Hints for difficult problems
=Ratio and Proportionality
Exercise 2.4.2
In the adjacent figure, two triangles are similar. Find the length of the missing side This problem can be solved with the following steps.
- Prerequisites: students should know the concept of similarity and proportionality
*Proportionality : two ratios are equal then four quantities are in proportional
*Similar Triangles : If two triangles are said to be similar 1. if they are equiangular 2. the corresponding side are proportional
- Understanding/ analysing the given problem
- Identifying/ Naming the triangles
- Identifying the sides whose length is not given
- comparing two sides of triangles (visualising that 1st triangle is smaller than 2 nd triagle and viceversa
- should identify the corresponding sides (sides having same allignment)
- Procedure
- find the ratio between the corresponding sides whose length is known
- express proportional corresponding sides (using the property of similarity)
AC/DF = AB/DE
13/39 = 5/x 13 : 39 = 5 : x (use the property of proportionality i.e Product of extremes is equal to product of means) 13 * x = 39 * 5
x = 39* 5 /13
Use the following Geogebra applet to understand proportion
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