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EXAMPLE 5

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.

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EXAMPLE 5

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  1. 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 ∆TPRto ∆XPZ.

  2. = 3 PS 3 4 PY 4 PS = 20 ANSWER = PS 15 The length of the altitude PSis 15. 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.

  3. 7. In the diagram, ∆JKL ~ ∆ EFG. Find the length of the median KM. 42 ANSWER for Example 5 GUIDED PRACTICE

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