sutterjp
sutterjp sutterjp
  • 08-09-2018
  • Mathematics
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20. What is the area of the figure:

20 What is the area of the figure class=

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bunnymarshmarloykw47
bunnymarshmarloykw47 bunnymarshmarloykw47
  • 08-09-2018
To find the area of the figure,we nees to first find the length of AC and BC by sine formula:

The length of AC:

24/sin90°=AC/sin45°
AC=24/sin90° x sin45°
AC=16.9705..
AC≈16.97ft

<BAC=180°-90°-45°=45°

As there are two same angles,it is an isosceles triangle,thus BC=AC≈16.97ft

The area:
16.97×16.97/2
=143.99...
≈144 sq.ft

Therefore, the answer is 144sq.ft

Hope it helps!
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