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Mathematics, 25.08.2021 01:00 jass624

How do I identify different terms in an equation

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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 ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bacβ‰…βˆ bda ? ∠bacβ‰…βˆ adc ? ∠bβ‰…βˆ b ? ∠cβ‰…βˆ c reflexive property of congruence β–³abcβˆΌβ–³dba ? β–³abcβˆΌβ–³dac 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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