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Proportional Property of Similar Triangles - Math 126










































The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of x.

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Mar 22, 2012
Proportional Property of Similar Triangles
by: Staff


Question:

The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of x.


Answer:

No figures were included with the question.

When two triangles are similar, the ratio of any two corresponding line segments will have the same numerical value.

For example, triangles ABC and DEF are similar triangles.

The length of the line segments are as follows:

AB = 3
BC = 4
CA = 6

DE = 6
EF = 8
FD = 12


The ratio of DE : AB = 2, but so are all the other ratios of corresponding sides:

EF : BC = 2

FD : CA = 2


Once this ratio is known, it is easy to calculate the length of an unknown line segment.

If BC = 4, and EF = x (unknown), then EF can be calculated by simply multiplying BC by 2.

x = EF = BC * 2 = 4 * 2 = 8

x = EF = 8




Thanks for writing.

Staff
www.solving-math-problems.com



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