Home › AP EAPCET (Engineering) › Mathematics › Properties of Triangles › In triangle ABC, A = 30 degrees, b = 10 and a = …
In triangle ABC, A = 30 degrees, b = 10 and a = 4. How many such triangles exist?
AExactly one
BExactly two
CNo triangle
DInfinitely many
Answer & Solution
Correct answer: C. No triangle
Altitude b sin A = 5 exceeds a = 4, so side a cannot reach the opposite side.
Related questions
Which fact is true of every triangle?When all three sides are given, which rule finds the angles directly?Why can a triangle not be fixed when only its three angles are given?Why is the law of cosines safer for finding an angle?Two sides a, b and the angle between them are known. Which rule gives the difference of thThe law of tangents is mathematically equivalent to which other triangle law?Euclid's Proposition II.12 concerns the square on the side opposite which kind of angle?The excentral triangle has its sides on which lines?