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In a right triangle, one of the angles is $45^\circ,$ and the hypotenuse is $6$ inches.  Find the area of the triangle in square inche

 Aug 15, 2023
 #1
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The triangle will be isosceles  with two equal legs

 

So

 

L^2 + L^2  =  6^2

 

2L^2 = 36

 

L^2  = 36/2

 

L^2   =18

 

Area =  (1/2)  (product of the  legs)  = (1/2) (L * L ) =  (1/2) (L^2) =  (1/2)(18)  = 9 in^2

 

 

cool cool cool

 Aug 15, 2023
edited by CPhill  Aug 15, 2023

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