Question

If the data given to construct a triangle ABC is a = 5, b = 7, sinA = 3/4, then it is possible to construct

• A. Only one triangle
• B. Two triangles
• C. Infinitely many triangle
• D. No triangle

Answer 1

Answer: (D)

No triangle

Answer 2

We have $\frac { \sin A } { a } = \frac { \sin B } { b } \Rightarrow \frac { 3 / 4 } { 5 } = \frac { \sin B } { 7 }$

⇒ sin B = $\frac { 21 } { 20 }$ > 1, which is impossible.

Hence no triangle is possible