Mathematics
Mathematics, 30.03.2022 21:50, joydivision01

Look at the right triangle ABC: Right triangle ABC has a right angle at B. Segment BD meets segment AC at a right angle.

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 β‹… DC 2. BC Γ· DC = AC Γ· 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 β‹… AD 4. AB Γ· AD = AC Γ· AB because triangle ABC is similar to triangle ADB
5. AB2 + BC2 = AC β‹… AD + AC β€’ DC = AC (AD + DC) 5. Adding Statement 1 and Statement 2
6. AB2 + BC2 = AC2 6. AD + DC = AC

Which justification is incorrect?
Justification 4
Justification 1
Justification 2
Justification 3

answer
Answers: 1

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Look at the right triangle ABC: Right triangle ABC has a right angle at B. Segment BD meets segmen...

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