Can some one pls help me fill is the square pls help
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Mathematics, 21.06.2019 23:30, legendman27
Given: adΒ―Β―Β―Β―Β― 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 adΒ―Β―Β―Β―Β― is an altitude, and β bac is a right angle. given β adb and β adc are right angles. definition of altitude β bacβ
β bda ? β bacβ
β adc ? β bβ
β b ? β cβ
β c reflexive property of congruence β³abcβΌβ³dba ? β³abcβΌβ³dac 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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