A triangle has sides A, B, and C. Sides A and B have lengths of 6 and 9, respectively. The angle between A and C is (5pi)/245π24 and the angle between B and C is (7pi)/247π24. What is the area of the triangle?

1 Answer
sankarankalyanam
Jun 10, 2018

color(red)("Triangle cannot exist with the given measurements."Triangle cannot exist with the given measurements.

Explanation:

color(purple)(a = 6, hat A = (7pi)/24, b = 9, hat B = (5pi) / 24a=6,ˆA=7π24,b=9,ˆB=5π24

To find the area of the triangle.

THEOREM . "A greater angle of a triangle is opposite a greater side. Let ABC be a triangle in which angle ABC is greater than angle BCA; then side AC is also greater than side AB"

color(brown)("Though " hat A" is greater than "hat B, " side a is less than b."

Hence a triangle cannot exist with the given measurements.

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