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What is the area of the triangle to the nearest tenth of a square centimeter? Use special triangles to help find the exact height. State both the exact height and the area to the nearest tenth. Show all your work.

 

Image description: A right triangle with a 26 ft. hypotenuse and a 60 degree angle oposite the 90 degree. 

 Apr 10, 2019
 #1
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Not too much to sweat, here

 

We have a 30-60-90 right triangle

 

The side opposite the 30 degree angle  =  (1/2) the hypotenuse  = 13  =  this is one leg

The side opposite the 60 degree angle  =  13√3  = this is the other leg

 

Area  =  product of the legs  / 2    =    (13) (13)√3   / 2    =   169√3 / 2 ≈   146.4 cm^2

 

BTW....the "height" is optional....it's either one leg length or the other.....depending upon your favorite orientation  !!!!

 

 

 

cool cool cool

 Apr 10, 2019

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