Question

If $b = 3 , c = 4$ and then the number of triangles that can be constructed is

• A. Infinite
• B. Two
• C. One
• D. Nil

Answer 1

Answer: (D)

Nil

Answer 2

Here, $c \sin B = 4 \sin \left( \frac { \pi } { 3 } \right) = 2 \sqrt { 3 } > b ( = 3 )$Thus, we have

$b < c \sin B$

Hence no triangle is possible, i.e., the number of triangles that can be constructed is nil.