30 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

1. ΔABC is a right triangle, with a right angle at ∠C.  ~  Given

2. Draw an altitude from point C to (line segment) AB  ~  From a point not on a line, exactly one perpendicular can be draw through the point to the line.

3. ∠CDB and ∠CDA are right angles  ~  Definition of altitude

4. ∠BCA  ≅ ∠BDC  ~  All right angles are congruent

5. ∠B  ≅ ∠B  ~  Reflexive Property

6. ΔCBA ~ ΔDBC  ~  AA Similarity Postulate

7. a/x = c/a  ~  Polygon Similarity Postulate

8. a^2 = cx  ~  Cross Multiply and Simplify

9. ∠CDA  ≅ ∠BCA  ~  All Right Angles are Congruent

10. ∠A  ≅ ∠A  ~  Reflexive Property

11. ΔCBA ~ ΔDBA  ~  AA Similarity Postulate

Step-by-step explanation:

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step-by-step explanation:

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )