1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
djverab [1.8K]
3 years ago
6

-------100 POINTS------ Complete the proof of the Pythagorean theorem.

Mathematics
2 answers:
KIM [24]3 years ago
7 0

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. Reflexive\:Property

6. ΔCBA ~ ΔDBC                             6. AA Similarity Postulate                                                                                                                                                                                                                                      

7. \frac{a}{x}\:=\:\frac{c}{a}                                           7. Polygon\:Similarity\:Postulate\:\:\:

8. a^{2}  = cx                                          8. Cross\:Multiply\:and\:Simplify

9. ∠CDA  ≅ ∠BCA                           9. All\:Right\:Angles\:are\:Congruent

10. ∠A  ≅ ∠A                                    10. Reflexive\:Property

11. ΔCBA ~ ΔDBA                             11. AA Similarity Postulate

12. \frac{b}{y}\:=\:\frac{c}{b}=                                      12. Polygon\:Similarity\:Postulate

13. b^2\:=\:cy                                       13. Cross\:Multiply\:and\:Simplify

14. a^2\:+\:b^2\:=\:cx\:+cy                    14. Addition\:Property\:of\:Equality

15. \left(CB\right)^2+\left(CA\right)^2=\left(AB\right)\left(DB+BA\right)  15. Distributive Property

16. x + y = c                                    16. Segment\:Addition\:Postulate

17. a^2\:+\:b^2\:=\:c^2                             18. Substitution\:Property

Marina CMI [18]3 years ago
6 0

Answer:

b

Step-by-step explanation:

You might be interested in
A bus travels 6 hours at a constant speed of 36 miles per hour.
adell [148]
Multiply the number of hours by how fast the bus is going. 

6*36= 216

The bus traveled 216 miles. 

I hope this helps!
~kaikers
6 0
3 years ago
Read 2 more answers
Britney's town voted on the new speed limit. Out of 48 votes, 12 are in favor of the new speed limit. What percentage of the vot
Reptile [31]

Answer:

25%

Step-by-step explanation:

6 0
3 years ago
While going on a field trip, a busload od 54 students will have to be split up into three groups. Two thirds will go into lunch
Helen [10]

Number of students on the bus = 54

Students who will go to lunch first are =\frac{2}{3} of 54

=\frac{2}{3}\times54=36

Hence, 36 students will go first for lunch.


7 0
3 years ago
Determine the type and number of solutions of 4x^2-5x+1=0
MA_775_DIABLO [31]

4x^2-5x=-1

\sqrt{4x^2-5x} = \sqrt{-1}4x^2-5x+1=0

4x+2.24x=1

6.24x=1

x= 0.16025641025641025641025641025641


7 0
3 years ago
I WILL GIVE BRAINLIEST
krek1111 [17]

Answer: +42x

Step-by-step explanation:

The student only multiplied each term individually.

He should have (7x+3)² = (7x+3)(7x+3)

Which is 49x²+42x+9

Therefore the error is (42x) or the failure to apply the law of multiplication of variables in a bracket.

8 0
3 years ago
Other questions:
  • Could someone please explain surface area to me?Thanks will be rewarded
    12·2 answers
  • Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
    12·1 answer
  • What are the discontinuities of the function f(x) = x^2+2x-24/6x+24?
    6·1 answer
  • How many triangles exist with the given angle measures? 32 degrees, 51 degrees, 97 degrees
    11·2 answers
  • Compare using < > = 2/6 2/3
    5·1 answer
  • Can you solve this and please show work so I can understand it thank you:)
    13·1 answer
  • I dont know how to write the question or answers​
    7·1 answer
  • I have a test please someone help me I need this asp
    14·1 answer
  • – 4 if = 3 and = 2?
    7·1 answer
  • 7.2 x 10^-2 and 3 x 10^-1
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!