Question
Need help to come up with a e make up a problem like this Theorem: Every triangle has at least one acute angle. Proof. Assume
Need help to come up with a e make up a problem like this
Theorem:Every triangle has at least one acute angle.
Proof.
Assume that the theorem is false which means that A. If an angle is not acute, it is right or obtuse, meaning it has degree 90 or greater. Let the degree of the three angles be x, y, and z. We will show that if B, then x + y + z > 180. The conclusion thatx + y + z > 180 is a contradiction because it violates the known theorem that the sum of the degrees of the angles of a triangle equals 180.
Since B, x + y + z C. Since C > 180, then
x + y + z C > 180
1) What is the correct expression for A?
Every triangle has at least one angle that is not acute.
There is a triangle with at least one angle that is not acute.
There is a triangle which does not have an acute angle.
2)
What is the correct expression for B?
x 90, y 90, and z 90.
x 90, y 90, or z 90.
x < 90, y < 90, or z < 90.
3) What is the correct expression for C?
180
360
270
I just to provide a different example just like the one above and what the answer will be.
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