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How many different triangles can be constructed using angle measurements 81 52 and 47? I need the answer really fast and like right now please

1 Answer

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The options are:
A) exactly one triangle;
B) no triangles;
C) more than one triangle.

First thing, let's see if these angles can make a triangle:
(81 + 52 + 47) = 180

We know that the sum of the inner angles of a triangle must equal 180°, therefore yes, they can be angles of a triangle.

With only the measure of the angles and nothing about the sides, we can construct as many triangles as we want: try, indeed, to construct a triangle with given angles bus sides of your choice; then, double the sides. You will get a triangle that is twice the size, but the angles remained the same.

Hence, the correct answer is C) more than one triangle.


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