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In a certain isosceles right triangle, the altitude to the hypotenuse has length 8. What is the area of the triangle?

 Oct 3, 2021
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See image below....

Area of the triangle on the right is   1/2 b h ===  1/2 (8 tan 45)(8)  

    there are TWO of these triangles that make  the larger isosceles right triangle .

       So the total area is       2   *   (1/2)(8 tan 45)(8)   units2         <=========== You can finish

 

 

 Oct 3, 2021

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