Find the measure of the angle
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Find the measure of the angle
Remember that the sum of angles in a triangle is equal to 180.
Therefore, we will use the formula:
Let's input the known data:
We should note that it's not possible to get a negative result, and therefore there is no solution.
There is no possibility of resolving
The triangle ABC is shown below.
To which side(s) are the median and the altitude drawn?
This is a fundamental property of triangles in flat geometry. The three interior angles of any triangle must always equal exactly 180°. If they add up to more, it's impossible to form a triangle!
It means the problem describes an impossible situation. Just like you can't have a square with 3 sides, you can't have a triangle with angles that sum to more than 180°.
Always check first! Add up the known angles before solving. If they already exceed 180°, stop immediately and conclude 'no solution possible'.
Not a trick - it's testing your understanding of triangle properties. Recognizing when a problem has no solution is just as important as solving solvable problems!
Then you could solve! gives , which is also impossible. The angles need to be positive and sum to exactly 180°.
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