Ineed quick
i name you the brainliest
given: ad is an altitude.
p...
Mathematics, 17.10.2019 15:20 lolagrace06
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
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