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it says I have to use the Pythagorean theorem and trig to find the perimeter and area. but I don't know how to apply that correctly to get the right answer. help is very appreciated! ​

it says I have to use the Pythagorean theorem and trig to find the perimeter and area-example-1

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Answer:

Let h be the height of the triangle.

Set your calculator to degree mode.


\tan(71) = (26)/(h)


h \tan(71) = 26


h = (26)/( \tan(71) ) = 8.9525

So the area of this triangle is

(1/2)(26)(8.9525) = 116.3827 square feet

The length of the hypotenuse is


\ \sqrt{ {( (26)/( \tan(71) ) )}^(2) + {26}^(2) }


\sqrt{ {8.9525}^(2) + {26}^(2) } = 27.4981

So the perimeter of this triangle is

8.9525 + 26 + 27.4981 = 62.4506 feet

User Mshameers
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