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k0ka [10]
3 years ago
13

What is the area of this triangle?

Mathematics
2 answers:
ch4aika [34]3 years ago
8 0

\text{In the given triangle we can see that the two sides length is 2.7 ft}\\
\text{and 3.4 ft and the angle between them is }40^{\circ}\\
\\
\text{we know that the area of a triangle with given two sides a and b and }\\
\text{the angle between them, C is given by}\\
\\
\text{Area}=\frac{1}{2}ab\sin C\\
\\
\text{so using this formula, the area of the given triangle is}\\
\\
\text{Area}=\frac{1}{2}(2.7)(3.4)\sin(40^{\circ})

\Rightarrow \text{Area}=\frac{9.18}{2}\sin(40^{\circ})\\
\\
\Rightarrow \text{Area}=4.59\sin(40^{\circ})\\
\\
\Rightarrow \text{Area}\approx 2.95

Hence the area of the triangle is approximately 2.95 square feet

Alex17521 [72]3 years ago
3 0
Well, you would have to mutiply the length and width and then divide that by 2 to get your area for the triangle
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