# APPENDIX D - Trigonometry - D Exercises: 89

$14.34457 cm^{2}$

#### Work Step by Step

Area of a triangle is given by $A=\frac{1}{2}\times Base\times Height$ Here, base =b and height =h In order to find height, we will consider $sin\theta=\frac{opp}{hyp}=\frac{h}{b}$ $h=bsin\theta$ Thus, $A=\frac{1}{2}\times a\times bsin\theta$ $A=\frac{1}{2}absin\theta$ $A=\frac{1}{2}\times 10 \times 3 sin 107^{\circ}$ $=\frac{1}{2}\times 10 \times 3 \times sin 107^{\circ}$ Hence, $A= 14.34457 cm^{2}$

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