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 cm

Answer 1

Answer on Question #80731 – Math – Geometry

Question

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

$$\mathrm{B} = 104{}^{\circ},\ \mathrm{a} = 11\ \mathrm{cm},\ \mathrm{c} = 18\ \mathrm{cm}$$

Solution

The area of a triangle is given by the formula

$$S_{\Delta} = \frac{1}{2} \cdot a \cdot c \cdot \sin B;$$ $$S_{\Delta} = \frac{1}{2} \cdot 11\ \mathrm{cm} \cdot 18\ \mathrm{cm} \cdot \sin 104{}^{\circ} \approx 96.06\ (\mathrm{cm}^2).$$

Answer: $96.06\ \mathrm{cm}^2$.

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