AP EAMCET · Maths · Properties of Triangles
If \(P_1, P_2\) and \(P_3\) are the lengths of the altitudes drawn from the vertices \(A, B\) and \(C\) of \(\triangle A B C\) respectively, then \(\frac{\cos A}{P_1}+\frac{\cos B}{P_2}+\frac{\cos C}{P_3}=\)
- A \(\frac{1}{\mathrm{R}}\)
- B \(\mathrm{R}\)
- C \(\frac{\Delta}{\mathrm{R}}\)
- D \(\frac{r}{R}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{\mathrm{R}}\)
Step-by-step Solution
Detailed explanation
We know that: \[ P_1=\frac{2 \Delta}{a}, P_2=\frac{2 \Delta}{b}, P_3=\frac{2 \Delta}{c} \] Now, \(\frac{\cos A}{P_1}+\frac{\cos B}{P_2}+\frac{\cos C}{P_3}\)…
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