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Use the converse of the Pythagorean theorem to decide whether ΔABC is a right triangle by answering the questions.

1. Use the Pythagorean theorem to find AD. Show your work.

2. Find AC. Show your work.

3. Is ΔABC a right triangle? Explain.

Use the converse of the Pythagorean theorem to decide whether ΔABC is a right triangle by answering the questions 1 Use the Pythagorean theorem to find AD Show class=

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Answer:

1. Use the Pythagorean theorem to find AD. Show your work.

AD=9

Side BD=12, and side AB=15. We know that side AB is the hypotenuse, so AD^2+144=225

225-144=81, so side AD=9

2. Find AC. Show your work.

AC=25

To find AC, we can add AD and DC

9+16=25

3. Is ΔABC a right triangle? Explain.

ABC is a right triangle because AB^2+BC^2=AC^2

Step-by-step explanation:

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