EXAMPLE 5
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EXAMPLE 5 Use a scale factor In the diagram, ∆TPR ~ ∆XPZ. Find the length of the altitude PS . SOLUTION irst, find the scale factor of ∆TPR to ∆XPZ. TR XZ 6 + 6 = 8 + 8 = 12 16 = 3 4
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In the diagram, ∆ TPR ~ ∆ XPZ . Find the length of the altitude PS. TR. 12. 3. XZ. 16. 4. 6 + 6. =. =. =. 8 + 8. EXAMPLE 5. Use a scale factor. SOLUTION. First, find the scale factor of ∆ TPR to ∆ XPZ. =. 3. PS. 3. 4. PY. 4. PS. =. 20. ANSWER. =. PS. 15. - PowerPoint PPT Presentation
Transcript of EXAMPLE 5
EXAMPLE 5 Use a scale factor
In the diagram, ∆TPR ~ ∆XPZ. Find the length of the altitude PS .
SOLUTION
First, find the scale factor of ∆TPR to ∆XPZ.
TRXZ
6 + 6= 8 + 8 = 1216
= 3 4
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.
PSPY
3 4=
PS20
3 4
=
=PS 15
The length of the altitude PS is 15.
ANSWER
GUIDED PRACTICE for Example 5
In the diagram, ∆JKL ~ ∆ EFG. Find the length of the median KM.
7.
ANSWER 42
