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A student made the following chart to prove that AB2 + BC2 = AC2.
Statement Justification
1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BDC and Angle BCA = Angle BCD
2. BC2 = AC × DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC
3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle BAD and Angle BAC = Angle ABD
4. AB2 = AC × AD 4. AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ABD
5. AB2 + BC2 = AC × AD + AC × DC
= AC (AD + DC) 5. Adding Statement 1 and Statement 2
6. AB2 + BC2 = AC2
 one year ago
 one year ago
A student made the following chart to prove that AB2 + BC2 = AC2. Statement Justification 1. Triangle ABC is similar to triangle BDC 1. Angle ABC = Angle BDC and Angle BCA = Angle BCD 2. BC2 = AC × DC 2. BC ÷ DC = AC ÷ BC because triangle ABC is similar to triangle BDC 3. Triangle ABC is similar to triangle ABD 3. Angle ABC = Angle BAD and Angle BAC = Angle ABD 4. AB2 = AC × AD 4. AB ÷ AD = AC ÷ AB because triangle ABC is similar to triangle ABD 5. AB2 + BC2 = AC × AD + AC × DC = AC (AD + DC) 5. Adding Statement 1 and Statement 2 6. AB2 + BC2 = AC2
 one year ago
 one year ago

This Question is Closed

Qwerty90Best ResponseYou've already chosen the best response.1
Which of the first four steps is the error
 one year ago

Qwerty90Best ResponseYou've already chosen the best response.1
I've already elimianted the first choice
 one year ago

Qwerty90Best ResponseYou've already chosen the best response.1
I think it is the 3rd one. what do you all think?
 one year ago

shivam_bhallaBest ResponseYou've already chosen the best response.0
@Qwerty90 , what makes you think that the 3rd option is wrong ??
 one year ago

shivam_bhallaBest ResponseYou've already chosen the best response.0
I'll tell you are right/wrong after you tell me your reason
 one year ago

Qwerty90Best ResponseYou've already chosen the best response.1
The angles don't correspond because they don't have the same angle?
 one year ago

shivam_bhallaBest ResponseYou've already chosen the best response.0
Good job @Qwerty90
 one year ago
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