A triangle has sides A, B, and C. Sides A and B have lengths of 9 and 7, respectively. The angle between A and C is $\frac{5 π}{24}$ $(5pi)/24$ and the angle between B and C is $\frac{7 π}{24}$ $(7pi)/24$ . What is the area of the triangle?

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Answer 1 · 2017-06-21T18:11:38

The area is $= 31.5 u^{2}$ $=31.5u^2$

The angle between $A$ $A$ and $B$ $B$ is

$= π - (\frac{5}{24} π + \frac{7}{24} π)$ $=pi-(5/24pi+7/24pi)$

$= π - (\frac{12}{24} π)$ $=pi-(12/24pi)$

$= π - \frac{1}{2} π = \frac{1}{2} π$ $=pi-1/2pi=1/2pi$

The triangle is a right angle triangle

The area is

$A = \frac{1}{2} \cdot 9 \cdot 7 = \frac{63}{2} = 31.5$ $A=1/2*9*7=63/2=31.5$

A triangle has sides A, B, and C. Sides A and B have lengths of 9 and 7, respectively. The angle between A and C is 5π24(5pi)/24 and the angle between B and C is 7π24 (7pi)/24. What is the area of the triangle?