Answer: 21
Step-by-step explanation:









Step-by-step explanation:
Complete the proof of the Pythagorean theorem is given below.
Statement Reason
1. ΔABC is a right triangle, with a 1. Given
right angle at ∠C
2. Draw an altitude from point C 2. From a point not on a line, exactly
to AB one perpendicular can be drawn through the point to the line
3. ∠CDB and ∠CDA are right 3. Definition of altitude
angles
4. ∠BCA ≅ ∠BDC 4. All right angles are congruent
5. ∠B ≅ ∠B 5. 
6. ΔCBA ~ ΔDBC 6. AA Similarity Postulate
7.
7. 
8.
8. 
9. ∠CDA ≅ ∠BCA 9. 
10. ∠A ≅ ∠A 10. 
11. ΔCBA ~ ΔDBA 11. AA Similarity Postulate
12.
12. 
13.
13. 
14.
14. 
15.
15. Distributive Property
16.
16.
17.
18. 
X^2+5x+6=0
(x+3)(x+2)=0
x-3, x-2
Answer:
b=5√3, c=10
Step-by-step explanation:
30-60-90 triangle
c=2a
b=a√3
Answer:


Step-by-step explanation:
Answer is given above with explanations .
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