Ineed quick
i name you the brainliest

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.

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

ab/bd=cb/ab

ab^2=(cb)(bd) cross multiply and simplify.

ac/dc=cb/ac polygon similarity postulate

ac^2=(cb)(dc) cross multiply and simplify.

ab^2+ac^2=ab^2+(cb)(dc) addition property of equality

ab^2+ac^2=(cb)(bd)+(cb)(dc) substitution property of equality

ab^2+ac^2=(cb)(bd+dc)

bd+dc=cb segment addition postulate

ab^2+ac^2=cb^2 substitution property of equality