A triangle has sides A, B, and C. Sides A and B have lengths of 9 and 5, respectively. The angle between A and C is $\frac{3 π}{4}$ $(3pi)/4$ and the angle between B and C is $\frac{π}{3}$ $pi/3$ . What is the area of the triangle?

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Answer 1 · 2018-02-17T12:25:04

Triangle can’t exist for the reason given below.

$ˆ A = \frac{π}{3}, ˆ A = \frac{3 π}{4}$ $hatA = pi/3, hatA = (3pi)/4$

Sum of the three angles of a triangle is equal to $π^{c}$ $pi^c$ .

Since sum of $ˆ A, ˆ B$ $hatA, hatB$ is greater than $π^{c}$ $pi^c$ , such a triangle can’t exist.

A triangle has sides A, B, and C. Sides A and B have lengths of 9 and 5, respectively. The angle between A and C is (3pi)/43π4(3pi)/4 and the angle between B and C is pi/3π3 pi/3. What is the area of the triangle?