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Mathematics, 21.06.2019 14:30
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Mathematics, 21.06.2019 23:30
Given: adÂŻÂŻÂŻÂŻÂŻ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason adÂŻÂŻÂŻÂŻÂŻ is an altitude, and â bac is a right angle. given â adb and â adc are right angles. definition of altitude â bacâ
â bda ? â bacâ
â adc ? â bâ
â b ? â câ
â c reflexive property of congruence âłabcâźâłdba ? âłabcâźâłdac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality
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