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O ADDITIONAL TOPICS IN TRIGONOMETRYМаFinding the area of a triangle using trigonometryЕFind the area of the triangle below.Carry your intermediate computations to at least four decimal places. Round your answer to the nearest hundredth46°17 in2in9 in?X1I

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O ADDITIONAL TOPICS IN TRIGONOMETRY
Ма
Finding the area of a triangle using trigonometry
Е
Find the area of the triangle below.
Carry your intermediate computations to at least four decimal places. Round your answer to the nearest hundredth
46°
17 in
2
in
9 in
?
X
1I
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O ADDITIONAL TOPICS IN TRIGONOMETRY Ма Finding the area of a triangle using trigonometry Е Find the area of the triangle below. Carry your intermediate computations to at least four decimal places. Round your answer to the nearest hundredth 46° 17 in 2 in 9 in ? X 1I

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Step 1

It is given that the triangle has two adjacent sides of dimensions 17inche and 9inche. And the included angle between them is 46 degree.

46
17 in
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46 17 in

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Step 2

To find: The area of given triangle.

Step 3

Calculation: The area of a triangle having adjacent sides a,...

Area of triangle
-ab sin(C)
2
1
=-x17x 9sin(46)
2
153
(0.9017)
2
=68.9800 inch
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Area of triangle -ab sin(C) 2 1 =-x17x 9sin(46) 2 153 (0.9017) 2 =68.9800 inch

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