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Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI=5, PI=7, and PO=11. What are all the possible lengths TO? Enter the possible values, separated by commas.

2 Answers

3 votes

Answer:

7, 11

Step-by-step explanation:

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User Thanos Tintinidis
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2 votes

Three Answers: 5, 7, 11

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Step-by-step explanation:

Refer to the diagram below.

In order for triangle TOP to be isosceles, the missing side x must be either 5 or 7. This way we have exactly two sides that are the same length.

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If TP = 5, then the value of y could be either 5 or 11 to ensure that triangle TIP has exactly two sides the same length.

If TP = 7, then y = 7 or y = 11 for similar reasons.

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Therefore, the possible lengths for segment TO are 5, 7, and 11.

Suppose triangle TIP and triangle TOP are isosceles triangles. Also suppose that TI-example-1
User Dimitri Williams
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