Let ABC be a right triangle with \(\angle\) BAC = 90 o then \(\left(\frac{r^{2}}{2 R^{2}}+\frac{r}{R}\right)\) is equal to : (where r and R have usual meaning in triangle.)

Straight Lines

Grade 11

Question:

Let ABC be a right triangle with \(\angle\)BAC = 90o then \(\left(\frac{r^{2}}{2 R^{2}}+\frac{r}{R}\right)\) is equal to : (where r and R have usual meaning in triangle.)

cot B cot C

tan B tan C

sin B sin C

sec B sec C

Step-by-Step Solution

Key Concept: Relate the ratio r/R to the triangle's angles using the identity r/R = cos A + cos B + cos C - 1 and simplify using the fact that B and C are complementary.

sin B sin C

Correct Answer: C

Question:

Step-by-Step Solution

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