Question #53922

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.

B = 104°, a = 11 cm, c = 18 cm

Expert's answer

Answer on Question #53922 – Math – Geometry

Question:

Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.


B=104,a=11 cm,c=18 cmB = 104{}^\circ, \quad a = 11 \text{ cm}, \quad c = 18 \text{ cm}

Solution:

Area=acsinB2Area = \frac{a * c * \sin B}{2}


where b,cb, c are the two known sides and BB is the included angle.


Area=1118sin(104)/2=96.06 cm2.Area = 11 * 18 * \sin(104{}^\circ)/2 = 96.06 \text{ cm}^2.


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