SOLUTION: In triangle ABC ,angle ACB is 90 degrees and CD is perpendicular to AB.Prove CB<sup>2</sup>/CA<sup>2</sup>=BD/AD
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Question 174528: In triangle ABC ,angle ACB is 90 degrees and CD is perpendicular to AB.Prove CB2/CA2=BD/AD
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
In triangle ABC ,angle ACB is 90 degrees and CD is perpendicular to AB.
.
Let's draw the Triangle according to the condition:
-------> "" perpendicular to ""; Angle ""
.
In Trigonometric Function for Right Triangles, , and we know
And it shows in our Triangle,
Also,
.
By Pyth. Theorem: ---->
Also,
Therefore,
Prove , substitute highlighted values:
Thank you,
Jojo
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