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Mathematics, 28.08.2019 20:00 zeckwielen8205

"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)
6. adding statement 1 and statement 2
7. ab2 + bc2 = ac2
which of the first four steps is the error? "

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"a student made the following chart to prove that ab2 + bc2 = ac2.
statement justification
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