SOLUTION: BD is the altitude of right triangle ABC. If AD=3 and DC=12, what is the length of BD?

Question 1140950: BD is the altitude of right triangle ABC. If AD=3 and DC=12, what is the length of BD?

Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
is the altitude of right triangle .
If and , what is the length of ?

given: right triangle => angle ° and altitude divides angle into two angles , < and <
=> <° ……(1)
is perpendicular to( given)
=> < + < ° …….(2)
=> < = < ………….by (1) & (2)
& < = <
So, triangle ~ triangle ( by AAA similarity theorem)
=> ( corresponding sides of similar triangles)
=>
=
=>
=>

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