Question

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

Answer 1

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:

Answer 2

Answer:

Pythagorean theorem: a^2 + b^2 = c^2

1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.

a^2 + 12^2 = 15^2

a^2 + 144 = 225

a^2 = 81 --> sqaure root to find the answer basically.

a = 9

- we put AD as a so AD = 9

final answer : 9

2. to find AC, simply add AD and DC.

9 + 16 = 25

final answer: AC = 25

3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.

-- let me know if you need any further explanations.