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Mathematics, 04.07.2019 07:30 shayneseaton

5. triangle abc is a right triangle with cd and ab angle c is a right triangle. by the △acb∼△adc and △acb∼△cdb. since similar triangles have sides, bcba=bdbc and acab=adac . using cross multiplication gives the equations (bc)2=(bd)(ba) and (ac)2=(ad)(ab). adding these together gives (bc)2+(ac)2=(bd)(ba)+(ad)(ab). factoring out the common segment gives (bc)2+(ac)2=(ab)(bd+ad). using gives (bc)2+(ac)2=(ab)(ab), which simplifies to (bc)2+(ac)2=(ab)2 . first paranthese sas or aas or sss second paranthese congruent or proportional third paranthese sa or cpctc

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