The sum of two acute angles of a right triangle is greater than the sum of two acute angles of an obtuse triangle, right

The sum of two acute angles of a right triangle is greater than the sum of two acute angles of an obtuse triangle, right

The sum of the two acute angles of a right triangle is 90 ° and the sum of the two acute angles of an obtuse triangle is equal to 180 ° minus the obtuse angle, so it is an acute angle

If one of the angles of a triangle is obtuse, then the other two are acute

This is a true proposition
For example, in Δ ABC, if at least one of the other two angles is greater than or equal to 90 ° such as ∠ B ≥ 90 °, then there must be
∠A+∠B+∠C＞180°
This is in contradiction to the fact that the three inner angles of a triangle are equal to 180 degrees
So the other two corners must be acute
(the above is the method of proof to the contrary)

The sum of the two acute angles of an obtuse triangle is greater than 90 degrees______ (judge right and wrong)

One of the obtuse angle triangles is an obtuse angle, which is greater than 90 degrees,
Because the sum of the angles inside the triangle is 180 degrees, the sum of the degrees of the other two angles must be less than 90 degrees
So the answer is: ×

A triangle has two acute angles, so the other one must be obtuse? Is this my blind spot? If both acute angles are 89 degrees, aren't all acute angles less than 90 degrees

Of course not. It's possible that all three are acute angles

How many right angles, acute angles and obtuse angles do triangles have

There's a right angle, an obtuse angle, two acute angles

In a triangle, there is at most one acute angle, one right angle, one obtuse angle and at least one acute angle

In a triangle, there are at most three acute angles, one right angle, one obtuse angle and at least two acute angles

A triangle has at least______ Sharp corners, at most______ Acute angle. A triangle has at most______ Right angles. A triangle has at most______ An obtuse angle

There is at most one right angle or obtuse angle in a triangle,
At least 0 right angle or obtuse angle
There are at most three acute angles and at least two acute angles
So the answer is: 2, 3, 1, 1

Of the three interior angles of a triangle, the most______ An obtuse angle______ Right angles______ An acute angle

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The outside center of an acute triangle is inside
The outer center of a right triangle is at the midpoint of the hypotenuse
The outer center of an obtuse triangle is outside the triangle

How to find and prove the trilateral relationship between acute triangle and obtuse triangle?

Trigonometric relationship of acute triangle: sum of squares of two sides is greater than that of third side
Obtuse triangles less than the sum of squares
The proof is very simple and can be proved one step by using cosine theorem