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The logo shown is symmetrical about one of its diagonals. Enter the angle measures in the green triangle,to the nearest degree. (Hint: First find an angle in a blue triangle.) Then, enter the area of the greentriangle, without first entering the areas of the blue triangles. Round your area to the nearest tenth.4 mm

The logo shown is symmetrical about one of its diagonals. Enter the angle measures-example-1
User Edwardo
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1 Answer

3 votes

Solution

For this case we can do the following:

We can find the lenght for AC:


AC=\sqrt[]{2^2+4^2}=\sqrt[]{20}

And similarly for EC we have:


EC=\sqrt[]{2^2+2^2}=\sqrt[]{8}

And finally Ae like this:


AE=\sqrt[]{4^2+2^2}=\sqrt[]{20}

then we can conclude that:

< CAE= 36.9º

< AEC= 71.6º

< ACE= 71.6º

Then for the area we can do the following:


A=16mm^2-(4\cdot2)/(2)-(2\cdot2)/(2)-(4\cdot2)/(2)=16-4-2-4=6\operatorname{mm}^2

The logo shown is symmetrical about one of its diagonals. Enter the angle measures-example-1
User Tim Perry
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3.6k points