SOLUTION: I need help with a proof that states :
Given right triangle RST, angle S as the right angle, RS perpendicular to ST, SW perpendicular to RT as an altitude.
PROVE: (ST)^2 = (T
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Question 1021936: I need help with a proof that states :
Given right triangle RST, angle S as the right angle, RS perpendicular to ST, SW perpendicular to RT as an altitude.
PROVE: (ST)^2 = (TW)(TR)
Found 2 solutions by robertb, ikleyn:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
According to your specifications, triangle STW would be similar to RTS, and hence corresponding sides would be proportional. It follows then that
.
After cross-multiplication, the equation would be .
Answer by ikleyn(52879) (Show Source): You can put this solution on YOUR website!
.
I need help with a proof that states :
Given right triangle RST, angle S as the right angle, RS perpendicular to ST, SW perpendicular to RT as an altitude.
PROVE: (ST)^2 = (TW)(TR)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
For two different and detailed proofs see the lessons
- Arithmetic mean and geometric mean inequality - Geometric interpretations
- Problems on similarity for right-angled triangles
in this site.
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