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Use a scale factor

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EXAMPLE 5 Use a scale factor In the diagram, TPR ~ XPZ. Find the length of the altitude PS . SOLUTION TR 12 3 XZ 16 4 First, find the scale factor of TPR to ... – PowerPoint PPT presentation

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Title: Use a scale factor


1
EXAMPLE 5
Use a scale factor
SOLUTION
First, find the scale factor of ?TPR to ?XPZ.
2
EXAMPLE 5
Use a scale factor
Because the ratio of the lengths of the altitudes
in similar triangles is equal to the scale
factor, you can write the following proportion.
Write proportion.
Substitute 20 for PY.
Multiply each side by 20 and simplify.
ANSWER
3
for Example 5
GUIDED PRACTICE
In the diagram, ABCDE FGHJK.
4
for Example 5
GUIDED PRACTICE
SOLUTION
First find the scale factor of ? JKL to ? EFG.
Because the ratio of the lengths of the median in
similar triangles is equal to the scale factor,
you can write the following proportion.
5
for Example 5
GUIDED PRACTICE
SOLUTION
Write proportion.
Substitute 35 for HF.
Multiply each side by 35 and simplify.
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