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Find the area of an isosceles triangle with two sides being 1 and an angle A being 30.

 Aug 8, 2017
edited by Guest  Aug 9, 2017
 #1
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around 0.5

 Aug 8, 2017
 #2
avatar+2440 
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Guest, you have not specified the exact location of the measure of the 30-degree angle. There are 2 possibilities.  

 Aug 9, 2017
 #3
avatar+128406 
+1

 

There are two possibilities.....

 

If the apex angle between the two equal sides  is 30°, the area is

(1/2)* 1^2 * sin (30)  = 

(1/2) (1/2)  =

1/4 units^2

 

If the  equal angles  opposite the equal sides =  30°, the apex angle = 120° and the area is

(1/2)* 1^2 * sin (120)  =

(1/2)(√3/2)  =  

√3/4 units^2

 

 

 

cool cool cool

 Aug 9, 2017

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