0
False Apex:)
Add your answer:
Earn +20 pts
How many obtuse and acute angles can be in a right triangle?
In a right triangle, one of the angles is already given - 90 degrees. Since the angles of a triangle must add up to 180 degrees, the other two must always add up to 90, so that after you add the right angle, the sum is 180. So both of the other angles have to be less than 90. That is, they both must be acute. So there can be NO obtuse angles in a right triangle. There are EXACTLY two acute angles in a right triangle.
If two angles of a triangle are acute then the third must be?
Actually, you cannot conclude anything this way, at least not in regular geometry. For instance, in a "perfect triangle," all 3 angles are acute. In a right triangle, one is a right angle and the other two are acute. It is also possible to have an obtuse angle and two acute angles. The thing is, the 3 angles must add up to 180 degrees.
If a triangle has one acute angle is the triangle necessarily acute?
No, an acute triangle must have all 3 angles under 90 degrees. A triangle can have an acute angle and still be a right triangle or an obtuse triangle.
A triangle with two acute angles must be a right angle?
No. The three angles in a triangle, in plane Euclidean geometry, must add to 180 degrees. Acute angles are less than 90 degrees. Therefore you may have a triangle with three angles which are 60 degrees for instance.
Must a triangle with two acute angles be a right angle?
No. For example, say the two angles are 10° and 20°. Then the other angle is 180°-10°-20°=150° and that is not a right angle. But if the triangle has two equal acute angles of 45 degrees then the 3rd angle must be 90 degrees which will form a right angle triangle.
What is the sum of two acute angles of a right triangle?
The sum of two acute angles of a right triangle must equal 90 degrees.
What does a right acute triangle look like?
Such a triangle would presumably have one right angle, and two acute angles. A right angle has a measure of 90 degrees; an acute angle has a measure of less than 90 degrees. Since both of the other two angles in a right triangle must be acute angles, you'd think at first that every right triangle must be a right acute triangle. But when you go and look up the definition of an "acute triangle", it turns out to be a triangle in which all three angles are acute. So the fact is that there's no such thing as a right acute triangle, because the 90-degree angle in a right triangle is not acute.
Can be acute triangle be a right triangle?
A right-angled triangle must have acute angles at the other two vertices because those two angles have to be less than 90 degrees.
Can an acute triangle be an right triangle?
No, acute triangles must have all angles less than 90 degrees.
What kind of angles does a triangle have in it acute or obtuse?
Every triangle must have at least two acute angles. The third one can be acute, right (90 degrees), or obtuse.
If two angles of a triangle are acute must the the third angle always be acute?
No. In fact, if one of the angles is not acute (a right angle or obtuse), the other two must be acute.
How many obtuse and acute angles can be in a right triangle?
In a right triangle, one of the angles is already given - 90 degrees. Since the angles of a triangle must add up to 180 degrees, the other two must always add up to 90, so that after you add the right angle, the sum is 180. So both of the other angles have to be less than 90. That is, they both must be acute. So there can be NO obtuse angles in a right triangle. There are EXACTLY two acute angles in a right triangle.
What is the greatest number of right angles that a right triangle can have?
Just the one and the other two angles must then be acute angles
If two angles of a triangle are acute then the third must be?
Actually, you cannot conclude anything this way, at least not in regular geometry. For instance, in a "perfect triangle," all 3 angles are acute. In a right triangle, one is a right angle and the other two are acute. It is also possible to have an obtuse angle and two acute angles. The thing is, the 3 angles must add up to 180 degrees.
If a triangle has one acute angle is the triangle necessarily acute?
No, an acute triangle must have all 3 angles under 90 degrees. A triangle can have an acute angle and still be a right triangle or an obtuse triangle.
Are the the angles in a triangle acute?
In plane geometry at least two angles must be acute in a triangle.
A triangle with two acute angles must be a right angle?
No. The three angles in a triangle, in plane Euclidean geometry, must add to 180 degrees. Acute angles are less than 90 degrees. Therefore you may have a triangle with three angles which are 60 degrees for instance.
