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0
36
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avatar+214 

find the area of the shaded region.

chitsuii  Jun 29, 2018
 #1
avatar+87294 
+1

If we look at the  small  right triangle on the bottom left of the  kite, it has a hypotenuse of 13 and a leg of 12....so...the height of the triangle is the other leg  and  is found as

√ [ 13^2  - 12^2 ] = √ [169 - 144]   = √25  = 5

 

So...by symmetry, we have two  congruent triangles comprising the top and bottom of the figure

The height of both triangles is 5 and the base is  12 + 8  = 20

 

So....the area of  one of the triangles is  (1/2) (5) (20)  =   50

 

And doubling this gives  the total area  of  100 units^2 

 

cool cool cool

CPhill  Jun 29, 2018

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