^^who watches ONE PIECE!?!?!? Bec I love anime I watched NARUTO ,SOUL EATER, FAIRY Tale, DR. STONE, VAMPIRE NIGHT, MHA, SEVEN DEADLY SINS, TOWER OF GOD, HIGH SCHOOl BABYSITTERS, HUNTER X HUNTER, HIGH SCHOOL HOST CLUB, DEMON SLAYER, MAID SAMA, ^^yes I know I’ve watched a lot and I also read MAnGA and play r o b l o x and I have padlet my padlet user is my super on Lovebtsforlive^^ ¥_¥ :3

Given: ad¯¯¯¯¯ 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 ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac 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