SOLUTION: A triangular bench is modeled by △ABC, in which m∠C=50°, AC=3.5, AB=2.81, and BC=1.4. https://cds.flipswitch.com/tools/asset/media/576477 Wayra must buy enough fa

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Question 1062981: A triangular bench is modeled by △ABC, in which m∠C=50°, AC=3.5, AB=2.81, and BC=1.4.
https://cds.flipswitch.com/tools/asset/media/576477
Wayra must buy enough fabric to cover the entire bench.
Assuming the given measurements are in yards, how much fabric must he buy?
Approximately __________ square yards of fabric are needed.
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.
A triangular bench is modeled by △ABC, in which m∠C=50°, AC=3.5, AB=2.81, and BC=1.4.
https://cds.flipswitch.com/tools/asset/media/576477
Wayra must buy enough fabric to cover the entire bench.
Assuming the given measurements are in yards, how much fabric must he buy?
Approximately __________ square yards of fabric are needed.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

The area of a triangle is the half of the product of two its side lengths by the sine of the angle concluded between the sides:


S =  = .


Use your calculator.


The length of AB is excessive data. 
It is not needed to solve the problem.

On area of triangles see the lessons
    - Formulas for area of a triangle
    - Proof of the Heron's formula for the area of a triangle
    - One more proof of the Heron's formula for the area of a triangle
    - Proof of the formula for the area of a triangle via the radius of the inscribed circle
    - Proof of the formula for the radius of the circumscribed circle

    - Solved problems on area of triangles
    - Solved problems on area of right-angled triangles
    - Solved problems on area of regular triangles
    - Solved problems on the radius of inscribed circles and semicircles
    - Solved problems on the radius of a circumscribed circle
in this site.

Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lessons are the part of this online textbook under the topic "Area of triangles".



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