Complete the proof of the Pythagorean theorem.
Given: abc is a right triangle, with a right angle at Prove: a^2+ b^2=c^2

(Please see image for the fill in the blank questions and please answer correctly or don't just guess for points. I only need the ones shown in the image, I was able to get 12 through 17.)

Complete the proof of the Pythagorean theorem Given abc is a right triangle with a right angle at Prove a2 b2c2 Please see image for the fill in the blank quest class=

Respuesta :

The fill up are:

5. ∠B ≅ ∠B

6. AA Similarity Postulate          

7.   a/c = c/a

8. a² = cx

9. ∠CDA ≅ ∠BCA

10. ∠A ≅ ∠A

11. ΔCBA ~ ΔDBA  

What is Similarity Postulate?

The above answers shows that:

5. Reflexive Property

6. AA Similarity Postulate

7. Polygon Similarity Postulate

8. Cross Multiply and Simplify

9. All right angles are Congruent

10. Reflexive Property

11. AA similarity Postulate

To prove the above:

Note that the full proof of the Pythagorean theorem is that:

We are given: Δ ABC as a right triangle, with a right angle at ∠C.

Then the  Prove: A²+B² =C²

Therefore, If you follow the theories above, you will see that the answers given are correct.

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